Short problem on group theory q.1

Thread starter betty2301
Start date Oct 26, 2010
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Group Group theory Short Theory

Oct 26, 2010

betty2301

short problem on group theory q.1[urgent due in 13 hrs]

due now

Last edited: Oct 26, 2010

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Oct 26, 2010

jbunniii

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betty2301 said:

Homework Statement

Let G be a finite group, N is a normal subgroup in G and H\leq G. Prove that if |H| and
(G : N) are coprimes, then H\leq N

Let \phi : G \rightarrow G/N be the canonical map g \mapsto gN, and consider \phi(H).

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