If is a free abelian group, and G is the subgroup with basis xaX X' = X
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If
is a free abelian group, and G is the subgroup with basis xaX X' = X - {x0} for some x0 ϵ X, then F/G ≅ Zxo. Generalize this result to arbitrary subsets X' of X.
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F = Σzx Zx TEX
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ANSWER First we consider the case where X X x0 for some x0 X Let F xX ZE be the free abelian group w...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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