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

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Let G be a finite group and let a prime p divide |G|. Let P be a Sylow p-subgroup of G and let H be any p-subgroup of G. Show there exists g ∈ G such that gHg^-1≤ 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 a prime p divide |G|. Let P be a

Question:

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By Theorem 368 H is contained in a Sylow psubgroup K of G By Theorem 3610 the...View the full answer

A First Course In Abstract Algebra

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