Computation of the centralizer dimension of generalized Baumslag-Solitar groups

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A finitely generated group G acting on a tree so that all vertex and edge stabilizers are infinite cyclic groups is called a generalized Baumslag-Solitar group (GBS group). The centralizer dimension of a group G is the maximal length of a descending chain of centralizers. In this paper we complete a description of centralizers for unimodular GBS groups. This allows us to find the centralizer dimension of all GBS groups and to establish a way to compute it.

Original languageEnglish
Pages (from-to)1823-1841
Number of pages19
JournalСибирские электронные математические известия
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Baumslag-Solitar group
  • Centralizer dimension
  • Centralizer of set of elements
  • Generalized Baumslag-Solitar group

OECD FOS+WOS

  • 1.01 MATHEMATICS

Fingerprint

Dive into the research topics of 'Computation of the centralizer dimension of generalized Baumslag-Solitar groups'. Together they form a unique fingerprint.

Cite this