If His a cyclic subgroup of a group G and His normal in G, then every subgroup

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If His a cyclic subgroup of a group G and His normal in G, then every subgroup of His normal in G. [Compare Exercise 10.]

Exercise 10

Find subgroups Hand K of D₄* such that H ◁ Kand K ◁ D₄*, but His not normal in D₄ *.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:07 AM

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If His a cyclic subgroup of a group G and His normal in G, then every subgroup

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To prove that every subgroup of a cyclic subgroup H that is normal in G is also normal in G we can ...View the full answer

Algebra Graduate Texts In Mathematics 73

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