Unformatted text preview: H : K ]. [ Note: This equality is also true if G is inﬁnite and the subgroups are of ﬁnite index, but you don’t have to prove that.] Exercise 8. Let G be a ﬁnite group and H ≤ G . Prove that if [ G : H ] is prime then H is maximal (c.f. Homework 3.3)....
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 Spring '10
 RyanDaileda
 Algebra, Vector Space, Algebraic structure, finite group, (c.f.

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