Let G be a finite group and let p be a prime dividing |G|. Let P be

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Let G be a finite group and let p be a prime dividing |G|. Let P be a Sylow p-subgroup of G. Show that N[N[P]] = N[P].

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 08:34 AM

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Let G be a finite group and let p be a prime dividing |G|. Let P be

Question:

Step by Step Answer:

Because NP is a normal subgroup of NNP conjugation of P by an element of NNP yields a subgroup of NP ...View the full answer

A First Course In Abstract Algebra

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