Find two Sylow 2-subgroups of S 4 and show that they are conjugate.

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Find two Sylow 2-subgroups of S₄ and show that they are conjugate.

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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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Find two Sylow 2-subgroups of S 4 and show that they are conjugate.

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A Sylow 2subgroup of S 4 has order 8 and by Theorem 3611 there must be either 1 or 3 of them The gro...View the full answer

A First Course In Abstract Algebra

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