If a normal subgroup N of order p (p prime) is contained in a group G of order p n , then N is in the center of G ...

Since N is a normal subgroup of G we know that for any g G we have gNg1 N Lets consider the action o ...

If a normal subgroup N of order p (p prime) is contained in a group G of

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If a normal subgroup N of order p (p prime) is contained in a group G of order pⁿ, then N is in the center of G.

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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 a normal subgroup N of order p (p prime) is contained in a group G of

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Algebra Graduate Texts In Mathematics 73

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