If G is an infinite p group (p prime), then either G has a subgroup of order p n for each n 1 or there exists m N such that every finite subgroup of G has order p m ...

This result is known as the theorem of nonexistence of maximal subgroups for pgroups It states that ...

If G is an infinite p-group (p prime), then either G has a subgroup of order p

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If G is an infinite p-group (p prime), then either G has a subgroup of order pⁿ for each n ≥ 1 or there exists m ϵ N* such that every finite subgroup of G has order ≤ p^m.

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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 14, 2023 12:06 PM

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If G is an infinite p-group (p prime), then either G has a subgroup of order p

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This result is known as the theorem of nonexistence of maximal subgroups for pgroups It states that ...View the full answer

Algebra Graduate Texts In Mathematics 73

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