Proof that Let X = { a i| i I| be a set. Then the free
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Proof that Let X = { ai|i ϵ I| be a set. Then the free abelian group on X is (isomorphic to) the group defined by the generators X and the relations (in multiplicative notation) { aiajai-1aj-1 = e| i,j ϵ I}.
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To prove that the free abelian group on the set X denoted as FX is isomorphic to the group defined by the generators X and the relations aiajai1aj1 e ...View the full answer
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Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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