Let G be a finite group and let primes p and q p divide |G|. Prove

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Let G be a finite group and let primes p and q ≠ p divide |G|. Prove that if G has precisely one proper Sylow p-subgroup, it is a normal subgroup, so G is not simple.

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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 primes p and q p divide |G|. Prove

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Let H be a Sylow psubgroup of G Because q divides G we kno...View the full answer

A First Course In Abstract Algebra

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