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

Laura Ciobanu, Alan D. Logan

Research output: Contribution to journalArticlepeer-review

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 statusE-pub ahead of print - 28 Oct 2021

Keywords

  • Endomorphisms
  • Fixed subgroup
  • Free group
  • Stable image

ASJC Scopus subject areas

  • Algebra and Number Theory

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