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

2020/09/10 by Laura Ciobanu, Ciobanu, Laura, Alan D. Logan +1
Mathematics · #20E05 #20F10 #20F65 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2009.04937

openalex publication_date 2020/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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