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[4] Overfull \hbox (2.19177pt too wide) in paragraph at lines 82--84 []\OT1/cmr/m/n/12 Mengenoperationen auf Gra-phen sind im-mer auf den ent-spre-c hen-den Men- [] File: grugraImages/bspgraphen.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/bspgraphen.pdf used on input line 87. (pdftex.def) Requested size: 351.31163pt x 155.58086pt. [1 ] Overfull \hbox (11.6812pt too wide) in paragraph at lines 96--97 []\OT1/cmr/m/n/12 Es sei-en $^^@ = (\OML/cmm/m/it/12 E; K; I\OT1/cmr/m/n/12 )$ und $^^@[] = (\OML/cmm/m/it/12 E[]; K[]; I[]\OT1/cmr/m/n/12 )$ [] File: grugraImages/Pn.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Pn.pdf used on input line 141. (pdftex.def) Requested size: 237.88815pt x 41.15364pt. [2] File: grugraImages/kreis.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/kreis.pdf used on input line 176. (pdftex.def) Requested size: 195.73076pt x 64.23984pt. File: grugraImages/doppelkante.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/doppelkante.pdf used on input line 181. (pdftex.def) Requested size: 114.42722pt x 73.27354pt. [3 ] File: grugraImages/bspbaum.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/bspbaum.pdf used on input line 210. (pdftex.def) Requested size: 382.42781pt x 99.371pt. Overfull \hbox (8.38446pt too wide) in paragraph at lines 226--230 [][]$\OMS/cmsy/m/n/12 ($\OT1/cmr/m/n/12 \: Da es zwi-schen je zwei Ecken einen Weg gibt, ist $^^@$ zu-sam-menh[]angend. [] [4 ] Overfull \hbox (5.20087pt too wide) in paragraph at lines 252--254 []$\OT1/cmr/m/n/12 ^^@$ ist ge-nau dann zu-sam-menh[]angend, wenn $^^@ \OMS/cms y/m/n/12 ^^@ \OML/cmm/m/it/12 x$ \OT1/cmr/m/n/12 zu-sam-menh[]angend [] LaTeX Font Info: Try loading font information for OMS+cmr on input line 276. 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(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueus.fd File: ueus.fd 2013/01/14 v3.01 Euler Script ) [6 ] Overfull \hbox (27.86845pt too wide) in paragraph at lines 370--373 []\OT1/cmr/m/n/12 Sei $^^@$ ein Graph und $\OML/cmm/m/it/12 Z$ \OT1/cmr/m/n/12 ein zu-sam-menh[]angen- [] File: grugraImages/GZ1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/GZ1.pdf used on input line 396. (pdftex.def) Requested size: 324.21045pt x 113.42346pt. [7] File: grugraImages/GZ2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/GZ2.pdf used on input line 401. (pdftex.def) Requested size: 122.45718pt x 66.24733pt. [8 ] File: grugraImages/aut1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/aut1.pdf used on input line 456. (pdftex.def) Requested size: 115.43095pt x 40.14989pt. File: grugraImages/aut2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/aut2.pdf used on input line 462. (pdftex.def) Requested size: 130.48717pt x 72.2698pt. Overfull \hbox (7.06685pt too wide) in paragraph at lines 464--466 \OT1/cmr/m/n/12 besteht $[](^^@)$ aus al-len Per-mu-ta-tio-nen der drei Ecken, al-so ist $[](^^@) [] [] File: grugraImages/aut3.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/aut3.pdf used on input line 468. (pdftex.def) Requested size: 130.48717pt x 72.2698pt. [9 ] File: grugraImages/aut4.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/aut4.pdf used on input line 473. (pdftex.def) Requested size: 122.45718pt x 108.40472pt. File: grugraImages/cay1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay1.pdf used on input line 508. (pdftex.def) Requested size: 237.88815pt x 40.14989pt. File: grugraImages/cay3.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay3.pdf used on input line 512. (pdftex.def) Requested size: 237.88815pt x 51.19112pt. [10 ] File: grugraImages/cay2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay2.pdf used on input line 516. (pdftex.def) Requested size: 237.88815pt x 61.22858pt. File: grugraImages/cay4.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay4.pdf used on input line 520. (pdftex.def) Requested size: 128.47968pt x 91.34102pt. Overfull \hbox (11.46625pt too wide) in paragraph at lines 522--524 []$\OML/cmm/m/it/12 G \OT1/cmr/m/n/12 = S[]$ und $\OML/cmm/m/it/12 S \OT1/cmr/m /n/12 = \OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 ^^\ \OT1/cmr/m/n/12 = (1 2 3)\OML/cm m/m/it/12 ; ^^[ \OT1/cmr/m/n/12 = (1 2)\OMS/cmsy/m/n/12 g$\OT1/cmr/m/n/12 . Es ist $S[] = \OMS/cmsy/m/n/12 f[]\OML/cmm/m/it/12 ; ^^\; ^^\[]; ^^[; ^^[^^\; ^^[^ ^\[]\OMS/cmsy/m/n/12 g$\OT1/cmr/m/n/12 . [] File: grugraImages/cay5.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay5.pdf used on input line 525. (pdftex.def) Requested size: 193.72327pt x 168.62958pt. [11 ] File: grugraImages/S3aktion.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/S3aktion.pdf used on input line 587. (pdftex.def) Requested size: 193.72327pt x 168.62958pt. [12] Overfull \hbox (0.48514pt too wide) in paragraph at lines 597--599 []\OT1/cmr/m/n/12 Die Zu-sam-men-hangs-kom-po-nen-ten von $^^@(\OML/cmm/m/it/12 G; S\OT1/cmr/m/n/12 )$ ent-spre-chen bi-jek-tiv den [] Overfull \hbox (10.3703pt too wide) in paragraph at lines 606--614 \OT1/cmr/m/n/12 Die Zu-sam-men-hangs-kom-po-nen-te $^^@[]$ von $^^@(\OML/cmm/m/ it/12 G; S\OT1/cmr/m/n/12 )$ ist iso-morph zu $^^@(\OML/cmm/m/it/12 G[]; S\OT1/ cmr/m/n/12 )$ [] [13 ] Overfull \hbox (24.83403pt too wide) in paragraph at lines 646--649 []\OT1/cmr/m/n/12 Es gibt einen ein-deu-tig be-stimm-ten Grup-pen-ho-mo-mor-phi s-mus $\OML/cmm/m/it/12 % \OT1/cmr/m/n/12 : [](^^@) \OMS/cmsy/m/n/12 ! [] [14] Overfull \hbox (30.43037pt too wide) in paragraph at lines 695--699 []\OT1/cmr/m/n/12 Betrachte die Klein-sche Vie-rer-grup-pe[] $\OML/cmm/m/it/12 G \OT1/cmr/m/n/12 = V[](= D[]) = \OMS/cmsy/m/n/12 f\OT1/cmr/m/n/12 1\OML/cmm/m/ it/12 ; ^^[; ^^\; ^^[^^\\OMS/cmsy/m/n/12 g$ [] File: grugraImages/klein41.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/klein41.pdf used on input line 700. (pdftex.def) Requested size: 172.64456pt x 94.35225pt. File: grugraImages/klein42.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/klein42.pdf used on input line 707. (pdftex.def) Requested size: 116.43471pt x 95.356pt. File: grugraImages/klein43.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/klein43.pdf used on input line 712. (pdftex.def) Requested size: 116.43471pt x 103.38599pt. [15 ] File: grugraImages/Ti.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Ti.pdf used on input line 720. 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File: grugraImages/quot3b.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/quot3b.pdf used on input line 821. (pdftex.def) Requested size: 114.42722pt x 45.16862pt. [18 ] File: grugraImages/lift.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/lift.pdf used on input line 864. (pdftex.def) Requested size: 274.02307pt x 90.33727pt. File: grugraImages/subdiv.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/subdiv.pdf used on input line 883. (pdftex.def) Requested size: 284.06053pt x 84.31477pt. [19 ] [20 ] File: grugraImages/Fxy.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Fxy.pdf used on input line 963. (pdftex.def) Requested size: 295.10176pt x 174.65207pt. [21 ] Overfull \hbox (9.3188pt too wide) in paragraph at lines 990--1002 \OT1/cmr/m/n/12 sei $[] := \OML/cmm/m/it/12 K\OT1/cmr/m/n/12 ([][])$, set-ze $\ OML/cmm/m/it/12 S[] \OT1/cmr/m/n/12 := \OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 s \OM S/cmsy/m/n/12 2 \OML/cmm/m/it/12 G \OT1/cmr/m/n/12 : \OML/cmm/m/it/12 s \OT1/cm r/m/n/12 = \OT1/cmss/m/n/12 t\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 k\OT1/cmr/m/n/12 )[]\OMS/cmsy/m/n/12 g$\OT1/cmr/m/n/12 . [] [22] File: grugraImages/w1w2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/w1w2.pdf used on input line 1058. (pdftex.def) Requested size: 333.24417pt x 109.40846pt. [23 ] File: grugraImages/pi1Z.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/pi1Z.pdf used on input line 1087. (pdftex.def) Requested size: 157.58835pt x 55.2061pt. File: grugraImages/pi1F2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/pi1F2.pdf used on input line 1095. (pdftex.def) Requested size: 196.7345pt x 55.2061pt. [24 ] File: grugraImages/phiZ.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/phiZ.pdf used on input line 1156. (pdftex.def) Requested size: 435.62643pt x 128.47968pt. Overfull \hbox (45.62643pt too wide) in paragraph at lines 1156--1157 [] [] [25 ] [26] File: grugraImages/univ.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/univ.pdf used on input line 1233. (pdftex.def) Requested size: 402.50276pt x 111.41597pt. Overfull \hbox (12.50276pt too wide) in paragraph at lines 1233--1234 [] [] [27 ] [28] [29] File: grugraImages/PSL.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/PSL.pdf used on input line 1403. (pdftex.def) Requested size: 297.10927pt x 108.40472pt. [30 ] [31] [32] Overfull \hbox (7.53015pt too wide) in paragraph at lines 1582--1586 []\OT1/cmr/m/n/12 Dieses Bei-spiel zeigt, dass das amal-ga-mier-te Pro-dukt von den $\OML/cmm/m/it/12 []$ \OT1/cmr/m/n/12 abh[]angt. [] [33] [34] [35] [36] [37] [38] Overfull \hbox (38.5333pt too wide) in paragraph at lines 1875--1879 \OT1/cmr/m/n/12 hei^^Yt \OT1/cmr/bx/n/12 Graph von Grup-pen[][]\OT1/cmr/m/n/12 . Wir ver-wen-den auch die Kurz-form $\U/rsfs/m/n/12 G \OT1/cmr/m/n/12 = ([]\OM L/cmm/m/it/12 ; G[]; G[]; []\OT1/cmr/m/n/12 )$. [] File: grugraImages/cay1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay1.pdf used on input line 1886. (pdftex.def) Requested size: 237.88815pt x 40.14989pt. File: grugraImages/cay1sub.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay1sub.pdf used on input line 1893. (pdftex.def) Requested size: 278.03807pt x 40.14989pt. File: grugraImages/cay1subquot.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cay1subquot.pdf used on input line 1897. (pdftex.def) Requested size: 159.59584pt x 49.18361pt. File: grugraImages/GvG1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/GvG1.pdf used on input line 1902. (pdftex.def) Requested size: 146.54712pt x 53.19861pt. [39 ] File: grugraImages/fundbereich.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/fundbereich.pdf used on input line 1933. (pdftex.def) Requested size: 388.45029pt x 226.84694pt. Overfull \hbox (27.82498pt too wide) in paragraph at lines 1933--1934 [] [] Underfull \vbox (badness 1253) has occurred while \output is active [] [40 ] File: grugraImages/rho.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/rho.pdf used on input line 1940. (pdftex.def) Requested size: 190.71202pt x 64.23984pt. File: grugraImages/Hbaum.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Hbaum.pdf used on input line 1949. (pdftex.def) Requested size: 426.79134pt x 195.89296pt. Overfull \hbox (66.16603pt too wide) in paragraph at lines 1949--1950 [] [] Underfull \vbox (badness 1515) has occurred while \output is active [] [41 ] File: grugraImages/rhoquot.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/rhoquot.pdf used on input line 1953. (pdftex.def) Requested size: 144.53963pt x 60.22484pt. [42 ] File: grugraImages/segment.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/segment.pdf used on input line 1986. (pdftex.def) Requested size: 123.46092pt x 52.19487pt. [43 ] File: grugraImages/pql.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/pql.pdf used on input line 2066. (pdftex.def) Requested size: 230.86192pt x 110.41222pt. [44 ] [45] File: grugraImages/GT1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/GT1.pdf used on input line 2181. (pdftex.def) Requested size: 198.742pt x 138.51715pt. [46 ] [47] File: grugraImages/winjektiv.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/winjektiv.pdf used on input line 2303. (pdftex.def) Requested size: 390.4578pt x 82.30728pt. Overfull \hbox (29.83249pt too wide) in paragraph at lines 2303--2304 [] [] [48] Underfull \hbox (badness 10000) in paragraph at lines 2347--2351 [] [49 ] File: grugraImages/L.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/L.pdf used on input line 2363. (pdftex.def) Requested size: 116.43471pt x 55.2061pt. File: grugraImages/XiF2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/XiF2.pdf used on input line 2389. (pdftex.def) Requested size: 262.98184pt x 117.43845pt. [50 ] File: grugraImages/Glimes.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Glimes.pdf used on input line 2421. (pdftex.def) Requested size: 266.99683pt x 65.24358pt. [51 ] Overfull \hbox (32.90768pt too wide) in paragraph at lines 2495--2495 []\OT1/cmr/bx/n/17.28 Fundamentalgruppe ei-nes Gra-phen von Grup- [] Overfull \hbox (2.7845pt too wide) in paragraph at lines 2498--2503 []\OT1/cmr/m/n/12 Es sei $\U/rsfs/m/n/12 G \OT1/cmr/m/n/12 = (^^@\OML/cmm/m/it/ 12 ; G[]; G[]; []; []\OT1/cmr/m/n/12 )$ ein Graph [] [52] Overfull \hbox (65.71567pt too wide) detected at line 2582 \OML/cmm/m/it/12 ^^Y[]\OT1/cmr/m/n/12 (\U/rsfs/m/n/12 G\OML/cmm/m/it/12 ; x[]\O T1/cmr/m/n/12 ) := \OMS/cmsy/m/n/12 f\OML/cmm/m/it/12 g \OMS/cmsy/m/n/12 2 \OT1 /cmr/m/n/12 F(\U/rsfs/m/n/12 G\OT1/cmr/m/n/12 ) : []\OMS/cmsy/m/n/12 g\OML/cmm/ m/it/12 : [] [53] Overfull \hbox (0.41028pt too wide) in paragraph at lines 2643--2650 \OT1/cmr/m/n/12 Es ist $\OML/cmm/m/it/12 p\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 ^^M []\OT1/cmr/m/n/12 ) = 1$ f[]ur al-le $\OML/cmm/m/it/12 x \OMS/cmsy/m/n/12 2 \OM L/cmm/m/it/12 E\OT1/cmr/m/n/12 (^^@)$ und $\OML/cmm/m/it/12 p \OMS/cmsy/m/n/12 ^^N \OML/cmm/m/it/12 f \OT1/cmr/m/n/12 = []$. Sei $\OML/cmm/m/it/12 g \OT1/cmr/ m/n/12 = \OML/cmm/m/it/12 h[]g[]h[]g[] [] g[]h[] \OMS/cmsy/m/n/12 2 [] [54] File: grugraImages/T01.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/T01.pdf used on input line 2670. (pdftex.def) Requested size: 384.4353pt x 159.59584pt. File: grugraImages/T02.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/T02.pdf used on input line 2677. (pdftex.def) Requested size: 384.4353pt x 155.58086pt. [55 ] [56 ] File: grugraImages/T0T1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/T0T1.pdf used on input line 2728. (pdftex.def) Requested size: 230.86192pt x 197.73827pt. [57 ] Overfull \hbox (1.06264pt too wide) in paragraph at lines 2762--2764 []\OT1/cmr/m/n/12 Der um-fang-rei-che Be-weis die-ser Pro-po-si-ti-on folgt am En-de des Ab-schnitts. [] [58] [59] Overfull \hbox (3.08289pt too wide) in paragraph at lines 2921--2932 []\OT1/cmr/m/sc/12 Beweis: \OT1/cmr/m/n/12 Es sei $^^@$ ein Baum mit Ecken $\OM L/cmm/m/it/12 x[]$\OT1/cmr/m/n/12 , $\OML/cmm/m/it/12 i \OMS/cmsy/m/n/12 2 \OML /cmm/m/it/12 I$\OT1/cmr/m/n/12 , und $\U/rsfs/m/n/12 G \OT1/cmr/m/n/12 = (^^@\O ML/cmm/m/it/12 ; G[]; \OMS/cmsy/m/n/12 f\OT1/cmr/m/n/12 1\OMS/cmsy/m/n/12 g\OML /cmm/m/it/12 ; []; []\OT1/cmr/m/n/12 )$ [] [60] [61] [62 ] [63] LaTeX Font Info: Try loading font information for U+euf on input line 3026. (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd File: ueuf.fd 2013/01/14 v3.01 Euler Fraktur ) [64] Overfull \hbox (7.0742pt too wide) in paragraph at lines 3066--3068 []\OT1/cmr/m/n/12 Die In-klu-si-on $\U/bbm/m/n/12 Z \OML/cmm/m/it/12 ,[]\OMS/cm sy/m/n/12 ! \U/bbm/m/n/12 Z[]$ \OT1/cmr/m/n/12 in-du-ziert ei-ne In-klu-si-on $ \U/bbm/m/n/12 Q \OML/cmm/m/it/12 ,[]\OMS/cmsy/m/n/12 ! \U/bbm/m/n/12 Q[]$ \OT1/ cmr/m/n/12 (d.h. $[](\U/bbm/m/n/12 Q[]\OT1/cmr/m/n/12 ) = [] [65] Overfull \hbox (0.13449pt too wide) in paragraph at lines 3116--3118 []\OT1/cmr/m/n/12 Jedes Drei-eck in $\U/bbm/m/n/12 Q[]$ \OT1/cmr/m/n/12 ist gle ich-schenk-lig, und die drit-te Sei-te ist h[]ochstens [] Overfull \hbox (25.57738pt too wide) in paragraph at lines 3127--3127 [] [] [66] [67] File: grugraImages/kreisQp.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/kreisQp.pdf used on input line 3211. (pdftex.def) Requested size: 172.64456pt x 115.43095pt. [68 ] File: grugraImages/R1R2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/R1R2.pdf used on input line 3285. (pdftex.def) Requested size: 447.6714pt x 78.2923pt. Overfull \hbox (87.0461pt too wide) in paragraph at lines 3285--3286 [] [] [69 ] File: grugraImages/strahlen.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/strahlen.pdf used on input line 3345. (pdftex.def) Requested size: 298.11302pt x 96.35974pt. [70 ] File: grugraImages/enden1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/enden1.pdf used on input line 3394. (pdftex.def) Requested size: 86.32227pt x 90.33727pt. [71 ] File: grugraImages/enden2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/enden2.pdf used on input line 3410. (pdftex.def) Requested size: 143.53589pt x 126.47218pt. [72 ] Overfull \hbox (86.83504pt too wide) detected at line 3505 \OML/cmm/m/it/12 g \OT1/cmr/m/n/12 = [] = [] \OML/cmm/m/it/12 : [] [73] File: grugraImages/abc.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/abc.pdf used on input line 3550. (pdftex.def) Requested size: 146.54712pt x 132.49466pt. [74 ] File: grugraImages/pglAktion.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/pglAktion.pdf used on input line 3595. (pdftex.def) Requested size: 218.81696pt x 329.22919pt. Underfull \vbox (badness 10000) has occurred while \output is active [] [75] Overfull \hbox (2.76399pt too wide) in paragraph at lines 3597--3600 \OT1/cmr/m/n/12 dass be-nach-bar-te Ecken auf be-nach-bar-te Ecken ab-ge-bil-de t wer-den. Auch [] File: grugraImages/vertauscht.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/vertauscht.pdf used on input line 3612. (pdftex.def) Requested size: 229.85817pt x 88.32977pt. [76 ] Overfull \hbox (2.69865pt too wide) in paragraph at lines 3623--3625 []\OT1/cmr/m/sc/12 Beweis: $[][]\OT1/cmr/m/n/12 (\U/bbm/m/n/12 Q[]\OT1/cmr/m/n/ 12 )$ ope-riert tran-si-tiv auf den Tri-peln ver-schie-de-ner Punk- [] File: grugraImages/pglQuotient.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/pglQuotient.pdf used on input line 3640. (pdftex.def) Requested size: 205.76823pt x 36.13489pt. [77 ] Overfull \hbox (39.94598pt too wide) in paragraph at lines 3736--3749 \OT1/cmr/bx/n/12 M\OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; []; []\OT1/cmr/m/n/12 ) = \OT1/cmr/bx/n/12 K[]\OT1/cmr/m/n/12 (0)$. Oh-ne Ein-schr[]ankung d[]urfen wi r $\OT1/cmr/bx/n/12 M\OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; []; []\OT1/cmr/m/n/1 2 ) = \OT1/cmr/bx/n/12 K[]\OT1/cmr/m/n/12 ([]) = [] [78] [79] Overfull \hbox (15.99826pt too wide) in paragraph at lines 3890--3908 []\OT1/cmr/m/sc/12 Beweis: \OT1/cmr/m/n/12 Es ist $[]$ in der Fix-grup-pe von $ \U/msa/m/n/12 ^^G$\OT1/cmr/m/n/12 , al-so $[][][](\U/bbm/m/n/12 Z[]\OT1/cmr/m/n /12 )\OML/cmm/m/it/12 ; [][] \OMS/cmsy/m/n/12 ^^T [] File: grugraImages/Kkante.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Kkante.pdf used on input line 3939. (pdftex.def) Requested size: 145.54338pt x 45.16862pt. [80 ] File: grugraImages/Ki.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Ki.pdf used on input line 3953. (pdftex.def) Requested size: 173.64832pt x 108.40472pt. [81 ] File: grugraImages/A0.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/A0.pdf used on input line 4029. (pdftex.def) Requested size: 274.02307pt x 68.25482pt. File: grugraImages/Aalpha.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Aalpha.pdf used on input line 4047. (pdftex.def) Requested size: 243.91064pt x 101.3785pt. [82 ] [83 ] [84] File: grugraImages/ihara1.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/ihara1.pdf used on input line 4189. (pdftex.def) Requested size: 259.97061pt x 143.53589pt. [85 ] File: grugraImages/ihara2.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/ihara2.pdf used on input line 4237. (pdftex.def) Requested size: 217.8132pt x 98.36723pt. [86 ] [87] [88 ] File: grugraImages/UinC.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/UinC.pdf used on input line 4308. (pdftex.def) Requested size: 191.71577pt x 163.61084pt. [89 ] File: grugraImages/Torus.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/Torus.pdf used on input line 4329. (pdftex.def) Requested size: 260.97437pt x 165.61833pt. File: grugraImages/cuspTorus.pdf Graphic file (type pdf) Package pdftex.def Info: grugraImages/cuspTorus.pdf used on input line 4357. (pdftex.def) Requested size: 327.2217pt x 150.56212pt. [90 ] [91 ] Overfull \hbox (36.58427pt too wide) in paragraph at lines 4446--4446 []\OT1/cmr/bx/n/17.28 Diskontinuierliche Un-ter-grup-pen von $[][]\OT1/cmr/m/n/ 17.28 (\U/bbm/m/n/17.28 Q[]\OT1/cmr/m/n/17.28 )$ [] [92] [93] Overfull \hbox (4.35934pt too wide) in paragraph at lines 4575--4578 \OT1/cmr/m/n/12 Dieser Graph ist nach Kon-struk-ti-on $\OML/cmm/m/it/12 G$\OT1/ cmr/m/n/12 -invariant. $\OML/cmm/m/it/12 T[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 G \OT1/cmr/m/n/12 )$ ist zu-sam-menh[]angend, [] [94] Overfull \hbox (1.60878pt too wide) in paragraph at lines 4619--4622 \OT1/cmr/m/n/12 phen von Grup-pen zu $^^@[]$ und $\OML/cmm/m/it/12 C \OT1/cmr/m /n/12 = \OML/cmm/m/it/12 G[]$\OT1/cmr/m/n/12 . Dann ist $\OML/cmm/m/it/12 G \OT 1/cmr/m/n/12 = [](\OML/cmm/m/it/12 G[]; C; []; []\OT1/cmr/m/n/12 )$. [] [95] [96] [97] [98] (./grugra.ind Overfull \hbox (1.62148pt too wide) in paragraph at lines 35--36 []$\OML/cmm/m/it/10.95 ^^Y[]\OT1/cmr/m/n/10.95 (^^@\OML/cmm/m/it/10.95 ; p\OT1/ cmr/m/n/10.95 )$, $\OML/cmm/m/it/10.95 ^^Y[]\OT1/cmr/m/n/10.95 (^^@)$ (Fun-da-m en-tal-grup-pe), 23 [] [99 ] [100] [101 ]) (./grugra.aux) LaTeX Warning: There were multiply-defined labels. ) Here is how much of TeX's memory you used: 6540 strings out of 493304 83327 string characters out of 6139872 189989 words of memory out of 5000000 9726 multiletter control sequences out of 15000+600000 34358 words of font info for 144 fonts, out of 8000000 for 9000 957 hyphenation exceptions out of 8191 41i,16n,45p,1447b,460s stack positions out of 5000i,500n,10000p,200000b,80000s < /home/travis/.texmf-var/fonts/pk/ljfour/public/bbm/bbm12.720pk>< /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmr12.pfb>< /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/euler/eufm10.pfb> Output written on grugra.pdf (105 pages, 1560908 bytes). PDF statistics: 6856 PDF objects out of 7423 (max. 8388607) 5043 compressed objects within 51 object streams 0 named destinations out of 1000 (max. 500000) 366 words of extra memory for PDF output out of 10000 (max. 10000000)