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

Laura Ciobanu; Alan David Logan

doi:10.1016/j.jalgebra.2021.09.026

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

Laura Ciobanu^*, Alan David Logan^*

^*Corresponding author for this work

Pure Mathematics

Research output: Contribution to journal › Article › peer-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 F₂a question posed by Stallings in 1984 and a question of Ventura.

Original language	English
Pages (from-to)	538-576
Number of pages	39
Journal	Journal of Algebra
Volume	591
Early online date	28 Oct 2021
DOIs	https://doi.org/10.1016/j.jalgebra.2021.09.026
Publication status	Published - 1 Feb 2022

Keywords

Free group
Fixed subgroup
Stable image
Endomorphisms

Access to Document

10.1016/j.jalgebra.2021.09.026

https://researchportal.hw.ac.uk/en/publications/fixed-points-and-stable-images-of-endomorphisms-for-the-free-grouLicence: CC BY-NC-ND

Cite this

@article{82985fd7a5d04a4a91666375ebe1f542,

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 = "Free group, Fixed subgroup, Stable image, Endomorphisms",

author = "Laura Ciobanu and Logan, \{Alan David\}",

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/Elsevier ",

}

TY - JOUR

T1 - Fixed points and stable images of endomorphisms for the free group of rank two

AU - Ciobanu, Laura

AU - Logan, Alan David

PY - 2022/2/1

Y1 - 2022/2/1

N2 - 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.

AB - 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.

KW - Free group

KW - Fixed subgroup

KW - Stable image

KW - Endomorphisms

UR - https://arxiv.org/abs/2009.04937

UR - https://www.scopus.com/pages/publications/85118596023

U2 - 10.1016/j.jalgebra.2021.09.026

DO - 10.1016/j.jalgebra.2021.09.026

M3 - Article

SN - 0021-8693

VL - 591

SP - 538

EP - 576

JO - Journal of Algebra

JF - Journal of Algebra

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this