%!PS-Adobe-2.0 %%Creator: dvips(k) 5.92b Copyright 2002 Radical Eye Software %%Title: /home/sommerh/.kde/share/apps/kfmexec/tmp/3958.0.SS03Ub6.dvi %%Pages: 2 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: CMBX12 CMR12 CMMI12 CMR8 CMSY10 MSBM10 CMMI8 CMSY8 %%DocumentPaperSizes: a4 %%EndComments %DVIPSWebPage: (www.radicaleye.com) %DVIPSCommandLine: dvips -z %+ /home/sommerh/.kde/share/apps/kfmexec/tmp/3958.0.SS03Ub6.dvi -o %+ /home/sommerh/SS03Ub6.ps %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2003.05.20:1116 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul 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All Rights Reserved) readonly def /FullName (CMSY8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-30 -955 1185 779}readonly def /UniqueID 5000818 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI8 %!PS-AdobeFont-1.1: CMMI8 1.100 %%CreationDate: 1996 Jul 23 07:53:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-24 -250 1110 750}readonly def /UniqueID 5087383 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: MSBM10 %!PS-AdobeFont-1.1: MSBM10 2.1 %%CreationDate: 1993 Sep 17 11:10:37 % Math Symbol fonts were designed by the American Mathematical Society. % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (2.1) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (MSBM10) readonly def /FamilyName (Euler) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /MSBM10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 81 /Q put dup 90 /Z put readonly def /FontBBox{-55 -420 2343 920}readonly def /UniqueID 5031982 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMSY10 %!PS-AdobeFont-1.1: CMSY10 1.0 %%CreationDate: 1991 Aug 15 07:20:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMR8 %!PS-AdobeFont-1.1: CMR8 1.0 %%CreationDate: 1991 Aug 20 16:39:40 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 0 /.notdef put readonly def /FontBBox{-36 -250 1070 750}readonly def /UniqueID 5000791 def currentdict end currentfile eexec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cleartomark %%EndFont %%BeginFont: CMMI12 %!PS-AdobeFont-1.1: CMMI12 1.100 %%CreationDate: 1996 Jul 27 08:57:55 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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cleartomark %%EndFont %%BeginFont: CMR12 %!PS-AdobeFont-1.1: CMR12 1.0 %%CreationDate: 1991 Aug 20 16:38:05 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark %%EndFont %%BeginFont: CMBX12 %!PS-AdobeFont-1.1: CMBX12 1.0 %%CreationDate: 1991 Aug 20 16:34:54 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. 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Ff(u)2388 2747 y Fe(4)2525 2732 y Ff(\015)33 b Fg(:=)27 b Ff(u)2795 2747 y Fe(1)2834 2732 y Ff(u)2890 2747 y Fe(4)2951 2732 y Fg(+)22 b Ff(u)3105 2747 y Fe(2)3144 2732 y Ff(u)3200 2747 y Fe(3)568 2932 y Fg(die)33 b(Nullstellen)h(der)f(kubisc)m(hen)i (Resolv)m(en)m(te.)g(Zeigen)e(Sie)g(f)2841 2936 y(\177)2838 2932 y(ur)f(ein)h(Elemen)m(t)i Ff(\033)568 3052 y Fg(der)i(Galoisgrupp) s(e)h(des)g(P)m(olynoms,)h(da\031)e Ff(\033)42 b Fg(genau)37 b(dann)h(in)f(der)h(Kleinsc)m(hen)568 3173 y(Vierergrupp)s(e)33 b(en)m(thalten)h(ist,)f(w)m(enn)1389 3373 y Ff(\033)t Fg(\()p Ff(\013)q Fg(\))27 b(=)g Ff(\013)99 b(\033)t Fg(\()p Ff(\014)6 b Fg(\))27 b(=)g Ff(\014)104 b(\033)t Fg(\()p Ff(\015)5 b Fg(\))27 b(=)h Ff(\015)568 3572 y Fg(gilt.)35 b(\(Hin)m(w)m(eis:)j(Mac)m(hen)f(Sie)g(sic)m(h)g(zun)2074 3576 y(\177)2074 3572 y(ac)m(hst)g(klar,)f(da\031)f(jedes)i(v)m(on)f (Eins)h(v)m(er-)568 3693 y(sc)m(hiedene)26 b(Elemen)m(t)f(v)m(on)f Ff(S)1599 3708 y Fe(4)1662 3693 y Fg(en)m(t)m(w)m(eder)i(eine)e(T)-8 b(ransp)s(osition,)25 b(ein)f(Pro)s(dukt)g(v)m(on)568 3813 y(zw)m(ei)38 b(disjunkten)g(T)-8 b(ransp)s(ositionen,)38 b(ein)f(3-Zyk)m(el)g(o)s(der)f(ein)h(4-Zyk)m(el)g(ist.)g(Die)568 3933 y(Aussage)c(wurde)h(in)f(Lemma)g(11.12)f(der)h(V)-8 b(orlesung)33 b(teilw)m(eise)i(gezeigt.\))119 b(\(4\))394 4131 y(23.)49 b(Zeigen)33 b(Sie:)609 4329 y(\(a\))48 b(Die)42 b(Galoisgrupp)s(e)f(des)i(P)m(olynoms)g Ff(p)2254 4344 y Fe(1)2293 4329 y Fg(\()p Ff(x)p Fg(\))h(:=)f Ff(x)2669 4293 y Fe(4)2737 4329 y Fg(+)28 b Ff(x)g Fg(+)h(1)42 b Fd(2)i Fc(Q)p Fg([)p Ff(x)p Fg(])e(ist)782 4449 y(isomorph)34 b(zu)f Ff(S)1396 4464 y Fe(4)1435 4449 y Fg(.)603 4605 y(\(b\))49 b(Die)35 b(Galoisgrupp)s(e)g(des)h(P)m(olynoms)g Ff(p)2227 4620 y Fe(2)2267 4605 y Fg(\()p Ff(x)p Fg(\))31 b(:=)h Ff(x)2619 4569 y Fe(4)2682 4605 y Fg(+)24 b(8)p Ff(x)g Fg(+)f(12)31 b Fd(2)h Fc(Q)p Fg([)p Ff(x)p Fg(])k(ist)782 4726 y(isomorph)e(zu)f Ff(A)1409 4741 y Fe(4)1448 4726 y Fg(.)614 4882 y(\(c\))49 b(Die)42 b(Galoisgrupp)s(e)f(des)i(P)m (olynoms)g Ff(p)2254 4897 y Fe(3)2293 4882 y Fg(\()p Ff(x)p Fg(\))g(:=)g Ff(x)2668 4846 y Fe(4)2736 4882 y Fg(+)28 b(1)43 b Fd(2)g Fc(Q)p Fg([)p Ff(x)p Fg(])g(ist)f(iso-)782 5002 y(morph)33 b(zur)g(Kleinsc)m(hen)i(Vierergrupp)s(e.)1103 b(\(4\))p eop end end %%Page: 2 2 TeXDict begin HPSdict begin 2 1 bop 394 548 a Fg(24.)49 b(Sei)d Ff(K)54 b Fg(ein)46 b(endlic)m(her)i(K)1549 552 y(\177)1549 548 y(orp)s(er)e(mit)h Ff(d)e Fg(Elemen)m(ten,)k(und)e(c)m (har\()p Ff(K)7 b Fg(\))46 b(sei)h(k)m(ein)568 668 y(T)-8 b(eiler)33 b(v)m(on)h Ff(n)p Fg(.)e(Man)h(zeige:)609 872 y(\(a\))48 b([)p Ff(K)892 887 y Fb(n)967 872 y Fg(:)28 b Ff(K)7 b Fg(])28 b(=)f(ord\()1466 845 y(\026)1449 872 y Ff(d)p Fg(\))32 b(in)h(der)g(Grupp)s(e)g(\()p Fc(Z)p Ff(=)p Fg(\()p Ff(n)p Fg(\)\))2533 836 y Fa(\003)2572 872 y Fg(.)603 1034 y(\(b\))49 b(Genau)40 b(dann)f(ist)h(\010)1562 1049 y Fb(n)1648 1034 y Fd(2)g Ff(K)7 b Fg([)p Ff(X)h Fg(])39 b(irreduzib)s(el,)i(w)m(enn)2821 1007 y(\026)2803 1034 y Ff(d)e Fg(ein)h(erzeugendes)782 1154 y(Elemen)m(t)35 b(der)e(Grupp)s(e)f(\()p Fc(Z)p Ff(=)p Fg(\()p Ff(n)p Fg(\)\))2014 1118 y Fa(\003)2086 1154 y Fg(ist.)1221 b(\(6\))324 1382 y(Abgab)s(e:)32 b(Dienstag,)h(27.5.2003,)e(11.00)h (Uhr,)2088 1361 y(\177)2076 1382 y(Ubungsk)2449 1386 y(\177)2449 1382 y(asten)i(im)f(1.)f(Sto)s(c)m(k)i(des)f(Ma-)324 1503 y(thematisc)m(hen)i(Instituts.)324 1623 y(Bitte)e(geb)s(en)g(Sie)g (auf)f(Ihrer)h(L)1475 1627 y(\177)1475 1623 y(osung)g(Ihren)h(Namen)f (und)g(Ihre)2753 1602 y(\177)2741 1623 y(Ubungsgrupp)s(e)h(an.)p eop end end %%Trailer end userdict /end-hook known{end-hook}if %%EOF