Suppose X is a set and F is a free object on X (with i : X
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Suppose X is a set and F is a free object on X (with i : X → F) in the category of groups the existence of F is proved. Prove that i(X) is a set of generators for the group F.
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To prove that iX is a set of generators for the group F we need to show that every element of F c...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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