Prove that there are only two distinct groups of order 4 (up to isomorphism), namely Z 4

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Prove that there are only two distinct groups of order 4 (up to isomorphism), namely Z₄ and Z₂⊕Z2.

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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 03:08 AM

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Prove that there are only two distinct groups of order 4 (up to isomorphism), namely Z 4

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Let G be a group of order 4 By Lagranges theorem the possible orders of subgroups of G are 1 2 ...View the full answer

Algebra Graduate Texts In Mathematics 73

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