@article{00e8654405024135952c152f4ba311ed,
title = "Fixed points and stable images of endomorphisms for the free group of rank two",
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.",
keywords = "Endomorphisms, Fixed subgroup, Free group, Stable image",
author = "Laura Ciobanu and Logan, {Alan D.}",
note = "Funding Information: The authors were supported by EPSRC Standard Grant EP/R035814/1 . The first-named author would like to thank the organisers of the Dagstuhl seminar 19131 Algorithmic Problems in Group Theory, where the topics addressed in this paper were discussed and listed as important open questions in the theory of free groups [7, Abstract 3.24, Problem 4.6] . Publisher Copyright: {\textcopyright} 2021",
year = "2022",
month = feb,
day = "1",
doi = "10.1016/j.jalgebra.2021.09.026",
language = "English",
volume = "591",
pages = "538--576",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}