Let G be a group and a,b G Denote the commutator aba 1 b 1 G by a,b Show that for any a,b,c, G, ab,c a b,c a 1 a,c ...

To show that abc abca1ca we need to use the definition of commutator which is xy ...

Let G be a group and a,b G. Denote the commutator aba -1 b -1

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Let G be a group and a,b ϵ G. Denote the commutator aba^-1b^-1ϵ G by [a,b]. Show that for any a,b,c, ϵ G, [ab,c] = a[b,c]a^{- 1}[a,c].

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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 14, 2023 12:06 PM

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Let G be a group and a,b G. Denote the commutator aba -1 b -1

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Algebra Graduate Texts In Mathematics 73

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