Exponential extensions of groups

Olga Kharlampovich, Alexei Myasnikov, Vladimir Remeslennikov, Denis Serbin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this paper we study exponential extensions of G which are finitely generated G-subgroups of the ℤ[t]-completion Gℤ[t] of a given CSA-group G. Using BassSerre theory we prove that exponential extensions of G can be obtained from subgroups of G by free constructions of a special type. As an application of this technique we describe the cohomological and homological dimensions of finitely generated fully residually free groups and give an algorithm to compute them.

Original languageEnglish
Pages (from-to)119-140
Number of pages22
JournalJournal of Group Theory
Volume11
Issue number1
DOIs
StatePublished - 1 Jan 2008

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