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

Authors :
Ciobanu, Laura
Logan, Alan D.
Publication Year :
2020

Abstract

We give an algorithm which computes the fixed subgroup and the stable image for any endomorphism of the free group of rank two $F_2$, answering for $F_2$ a question posed by Stallings in 1984 and a question of Ventura.<br />Comment: 34 pages

Subjects

Subjects :
Mathematics - Group Theory
20F65, 20F10, 20E05

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2009.04937
Document Type :
Working Paper

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