If N is a nontrivial normal subgroup of a nilpotent group G, then N C(G)

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If N is a nontrivial normal subgroup of a nilpotent group G, then N ∩ C(G) ≠ (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 15, 2023 03:51 AM

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If N is a nontrivial normal subgroup of a nilpotent group G, then N C(G)

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ANSWER We will prove the statement by contradiction Assume that N CG e where e is the identity eleme...View the full answer

Algebra Graduate Texts In Mathematics 73

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