Invariable generation of Thompson groups

Tsachik Gelander, Gili Golan*, Kate Juschenko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A subset S of a group G invariably generates G if G=〈sg(s)|s∈S〉 for every choice of g(s)∈G,s∈S. We say that a group G is invariably generated if such S exists, or equivalently, if S=G invariably generates G. In this paper, we study invariable generation of Thompson groups. We show that Thompson group F is invariably generated by a finite set, whereas Thompson groups T and V are not invariably generated.

Original languageEnglish (US)
Pages (from-to)261-270
Number of pages10
JournalJournal of Algebra
Volume478
DOIs
StatePublished - May 15 2017

Keywords

  • Invariable generation
  • Thompson groups

ASJC Scopus subject areas

  • Algebra and Number Theory

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