Fixed points and stable images of endomorphisms for the free group of rank two

Laura Ciobanu*, Alan D. Logan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
34 Downloads (Pure)

Abstract

We give an algorithm which computes the fixed subgroup and the stable image for any endomorphism of the free group of rank two F2, answering for F2 a question posed by Stallings in 1984 and a question of Ventura.

Original languageEnglish
Pages (from-to)538-576
Number of pages39
JournalJournal of Algebra
Volume591
Early online date28 Oct 2021
DOIs
Publication statusPublished - 1 Feb 2022

Keywords

  • Endomorphisms
  • Fixed subgroup
  • Free group
  • Stable image

ASJC Scopus subject areas

  • Algebra and Number Theory

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