Let be an equivalence relation on a group G and let N = {a G

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Let ∼ be an equivalence relation on a group G and let N = {a ϵ G I a ∼ e}. Then ∼ is a congruence relation on G if and only if N is a normal subgroup of G and ∼ is congruence modulo N.

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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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Let be an equivalence relation on a group G and let N = {a G

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Lets first define what it means for to be a congruence relation on G is a congruence relation on G i...View the full answer

Algebra Graduate Texts In Mathematics 73

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