If p > q are primes, a group of order pq has at most one subgroup of

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If p > q are primes, a group of order pq has at most one subgroup of order p. Suppose H,K are distinct subgroups of order p. Show H ∩ K = (e).

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:07 AM

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If p > q are primes, a group of order pq has at most one subgroup of

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Since H and K are both subgroups of G of order p they must be cyclic gro...View the full answer

Algebra Graduate Texts In Mathematics 73

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