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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On free products of finitely generated abelian groups


Author: Anthony M. Gaglione
Journal: Trans. Amer. Math. Soc. 195 (1974), 421-430
MSC: Primary 20F05
MathSciNet review: 0360840
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Abstract: Let the group G be a free product of a finite number of finitely generated abelian groups. Let $ G'$ be its commutator subgroup. It is proven here that the ``quasi-G-simple'' commutators, defined below, are free generators of $ G'$.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0360840-3
Keywords: Free product of groups, free group, finitely generated abelian group, free generator, basic commutator, commutator subgroup, dimension, "G-simple basic commutator", "quasi-G-simple'' commutator, rewriting process
Article copyright: © Copyright 1974 American Mathematical Society