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 ≤ pm.
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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
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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