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Cap\'{\i }tulo 1.
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Cap\'{\i }tulo 2.
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[]\OT1/cmr/bx/n/10.95 6. \OT1/cmr/m/n/10.95 Por de-fini^^Xc~ao, sa-be-mos que $\OML/cmm/m/it/10.95 Z\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 G\OT1/cmr/m/n/10.95 ) = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 z\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 gz \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 zg; \OMS/cmsy/m/n/10.95 8\OML/cmm/m/it/10.95 g \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/it/10.95 G\OMS/cmsy/m/n/10.95 g$\OT1/cmr/m/n/10.95 . Da^^S^^P, $\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 Z\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 G\OT1/cmr/m/n/10.95 )) = \OMS/cmsy/m/n/10.95 f[] j\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 g\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ^^^\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 z\OT1/cmr/m/n/10.95 ) =
[]
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[]\OT1/cmr/m/n/10.95 Sejam $\OML/cmm/m/it/10.95 ^^^[]$ \OT1/cmr/m/n/10.95 e $\OML/cmm/m/it/10.95 ^^^[]$ \OT1/cmr/m/n/10.95 ele-men-tos quais-quer de $[](\OML/cmm/m/it/10.95 G\OT1/cmr/m/n/10.95 )$. Note que $(\OML/cmm/m/it/10.95 ^^^[] \OMS/cmsy/m/n/10.95 ^^N \OML/cmm/m/it/10.95 ^^^[]\OT1/cmr/m/n/10.95 )(\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 ^^^[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^^[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 )) =
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Cap\'{\i }tulo 3.
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[][]\OT1/cmr/bx/n/10.95 Teorema 3.0.3. []\OT1/cmr/m/n/10.95 Para dois sub-gru-pos fi-ni-tos $\OML/cmm/m/it/10.95 H$ \OT1/cmr/m/n/10.95 e $\OML/cmm/m/it/10.95 K$ \OT1/cmr/m/n/10.95 de um grupo $\OML/cmm/m/it/10.95 G$\OT1/cmr/m/n/10.95 , seja $\OML/cmm/m/it/10.95 HK \OT1/cmr/m/n/10.95 = []$.
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Cap\'{\i }tulo 4.
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[]\OT1/cmr/m/n/10.95 Por fim, basta no-tar que o in-verso de todo ele-mento $(\OML/cmm/m/it/10.95 a[]; a[]; [] ; a[]\OT1/cmr/m/n/10.95 )$ em $\OML/cmm/m/it/10.95 H$ \OT1/cmr/m/n/10.95 ^^Se $(\OML/cmm/m/it/10.95 a[]; a[]; [] ; a[]\OT1/cmr/m/n/10.95 )$.
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[][]\OT1/cmr/bx/n/10.95 Teorema 4.0.3. []\OT1/cmr/m/n/10.95 Seja $[]\OML/cmm/m/it/10.95 G[] \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 f\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 g[]; g[]; [] ; g[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g[] \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/it/10.95 G[]\OMS/cmsy/m/n/10.95 g$\OT1/cmr/m/n/10.95 . Ent~ao, $\OMS/cmsy/m/n/10.95 j\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 g[]; g[]; [] ; g[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j \OT1/cmr/m/n/10.95 = [](\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 ; \OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g[]\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 ; [] ; \OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g[]\OMS/cmsy/m/n/10.95 j\OT1/cmr/m/n/10.95 )$.
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[]\OT1/cmr/m/n/10.95 Se $\OML/cmm/m/it/10.95 p\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 t$\OT1/cmr/m/n/10.95 , ent~ao $\OML/cmm/m/it/10.95 p\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 tq[]$ \OT1/cmr/m/n/10.95 mas $\OML/cmm/m/it/10.95 p \U/msb/m/n/10.95 - \OML/cmm/m/it/10.95 bsq[]$\OT1/cmr/m/n/10.95 , pois $[](\OML/cmm/m/it/10.95 b; t\OT1/cmr/m/n/10.95 ) = 1 = [](\OML/cmm/m/it/10.95 q[]; t\OT1/cmr/m/n/10.95 ) = [](\OML/cmm/m/it/10.95 s; t\OT1/cmr/m/n/10.95 )$, logo $[](\OML/cmm/m/it/10.95 t; bsq[]\OT1/cmr/m/n/10.95 ) =
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