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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To show that abc abca1ca we need to use the definition of commutator which is xy ...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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