Fraïssé limits of limit groups

Olga Kharlampovich, Alexei Myasnikov, Rizos Sklinos

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We modify the notion of a Fraïssé class and show that various interesting classes of groups, notably the class of nonabelian limit groups and the class of finitely generated elementary free groups, admit Fraïssé limits. Furthermore, we rediscover Lyndon's Z[t]-exponential completions of countable torsion-free CSA groups, as Fraïssé limits with respect to extensions of centralizers.

Original languageEnglish
Pages (from-to)300-323
Number of pages24
JournalJournal of Algebra
Volume545
DOIs
StatePublished - 1 Mar 2020

Keywords

  • Fraïssé limit
  • Free group
  • Limit group
  • Lyndon exponential group

Fingerprint

Dive into the research topics of 'Fraïssé limits of limit groups'. Together they form a unique fingerprint.

Cite this