If every Sylow p-subgroup of a finite group G is normal for every prime p, then G

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If every Sylow p-subgroup of a finite group G is normal for every prime p, then G is the direct product of its Sylow subgroups.

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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 every Sylow p-subgroup of a finite group G is normal for every prime p, then G

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Let P be a Sylow psubgroup of G where p is any prime dividing G Since P is normal in G the conjugati...View the full answer

Algebra Graduate Texts In Mathematics 73

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