Show that the free group on the set {a} is an infinite cyclic group, and hence isomorphic

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Show that the free group on the set {a} is an infinite cyclic group, and hence isomorphic to Z.

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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

Show that if A is an infinite set, then whenever B is a set, A B is also an infinite set.
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Show that the free group on the set {a} is an infinite cyclic group, and hence isomorphic

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The free group on the set a denoted by Fa is the group of all reduced words formed using the symbol ...View the full answer

Algebra Graduate Texts In Mathematics 73

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