321ps2pg20001

321ps2pg20001 - 11 Cl5Sod-tiVi~ ~ ibi ~ LL P E 1...

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11) Cl5Sod-tiVi~ ~ ~ i b i [ E LL P \ 1 Ör. 'TI-ien '7.1-, ',"~; il t..-t ( •• 1 S'im ii ari.)!) ~cr = T .so lp \ ~Ö1 'iS et Hertu ~roup - -==? ci ~ ~ o..~- ::; ~ (ci. r\~:~ CntlcliiSi)[1 7Lm, \ ro~ iS ci ~roup onl~ if (T/: p -for Jane purne i:>' -3) Le+ G be cl group is commu1ative. t ",2 _- 1 s.· LA. alla t G ' Pr o ve + h ert G 1 ~( ab = b C! b. b ~ cd, =- be. ) ;::: bo~'" =-ba. - 1 \1aib~G Le+ \Gl = 'lif ) for SornC. Tl (. iN . -Then "] o. .E6 i f , O~- t C!I:(
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cl) 4) Le+ G be a ~ roup and let H.{, G J k.{. G. S hcxu ~I-rat- HuK. is not a ~roup un\ess .' HUJ( '= H or HU~ =1( (j·e. H ç. t or \( ~.H) (The ui ,,'ci'i of MO ~rvup$ is ~et1era(( ~ hoi a ~rolf» \NTj : HlJK is (). ~rour =f HuK. :: H or Hu,< =' k. .. A.s$ume HuK. is ll. HuK. t- H , ~fia+ is (lft.ds: HUK~K I·e" ~rDlJr wdh I'.f H. Then H , ko) H ~ G and K C 6 a iSt) 3k.~ t K -l * ~.T. " ~ H Now \et h t H J So h f: Hul( i (.lIST) k* E HvK. . ,heti hk. .~€ Hu~CG lf hk.*fH i then h-1, hk.*:k. .*fH '*" So nk.*tK ~ h k.* k* -, ::: h E J(
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321ps2pg20001 - 11 Cl5Sod-tiVi~ ~ ibi ~ LL P E 1...

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