Exponential groups 2: Extensions of centralizers and tensor completion of CSA groups
Group Theory
2008-02-03 v1
Abstract
For a CSA group and a wide class of abelian groups we give an explicit construction for the tensor -completion of using free products with amalgamations. We apply the obtained results to the study of basic properties of -free groups. In particular, canonical and reduced forms of elements in -free groups are introduced, and then commuting and conjugate elements are described.
Cite
@article{arxiv.math/9507203,
title = {Exponential groups 2: Extensions of centralizers and tensor completion of CSA groups},
author = {Alexey Myasnikov and Vladimir Remeslennikov},
journal= {arXiv preprint arXiv:math/9507203},
year = {2008}
}
Comments
LaTex, 33 pages, no figures. Submitted to Intern. J. Alg. Comp