Proof that If G is a group, then C = {a G I ax = xa
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Proof that If G is a group, then C = {a ϵ G I ax = xa for all x ϵ G} is an abelian subgroup of G. C is called the center of G.
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To prove that the set C a G ax xa for all x G is an abelian subgroup of G which is called the center ...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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