A description of auto-fixed subgroups in a free group

2003/06/26 by Armando Martino, A. Martino, Enric Ventura +3
Mathematics · #20E05 #20E36 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR #math.GT #msc:20E05 #msc:20E36

paper · pdf · doi:10.48550/arxiv.math/0306380

41 pages

arxiv created 2003/06/26 · openalex publication_date 2003/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F be a finitely generated free group. By using Bestvina-Handel theory, as well as some further improvements, the eigengroups of a given automorphism of F (and its fixed subgroup among them) are globally analyzed and described. In particular, an explicit description of all subgroups of F which occur as the fixed subgroup of some automorphism is given.

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