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

1995/07/14 by Myasnikov, Alexey, Remeslennikov, Vladimir · 1 citation
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/9507203

Abstract

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.

Cited by

• Andrews-Curtis groups

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