Exponential groups 2: Extensions of centralizers and tensor completion of CSA groups

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For a CSA group $G$ and a wide class of abelian groups $A$ we give an explicit construction for the tensor $A$-completion of $G$ using free products with amalgamations. We apply the obtained results to the study of basic properties of $A$-free groups. In particular, canonical and reduced forms of elements in $A$-free groups are introduced, and then commuting and conjugate elements are described.
LaTex, 33 pages, no figures. Submitted to Intern. J. Alg. Comp

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/152992

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9507203
 http://arxiv.org/abs/math/9507203

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arXiv