Let F be the free group on the set X, and let Y X. If His
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Let F be the free group on the set X, and let Y ⊂ X. If His the smallest normal subgroup of F containing Y, then F/ His a free group.
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To prove that FH is a free group we need to show that there exists a subset S of FH such that every element of FH can be uniquely expressed as a produ...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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