Let G be a group containing at least one subgroup of a fixed finite order s. Show

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Let G be a group containing at least one subgroup of a fixed finite order s. Show that the intersection of all subgroups of G of order s is a normal subgroup of G.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 02, 2023 04:46 AM

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Let G be a group containing at least one subgroup of a fixed finite order s. Show

Question:

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Let H be the intersection of all subgroups of G that are of order s We are told that this inte...View the full answer

A First Course In Abstract Algebra

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