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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:08 AM

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Suppose X is a set and F is a free object on X (with i : X

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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

Algebra Graduate Texts In Mathematics 73

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