2013/07/31 by François Dahmani
Mathematics · #Automorphism #Automorphism group #Conjugacy class #Conjugacy problem #Finitely-generated abelian group #Geometric and Algebraic Topology #Holomorphic and Operator Theory #Isomorphism (crystallography) #Mathematical Dynamics and Fractals #Relatively hyperbolic group #math.GR #msc:20E36
paper · pdf · doi:10.1090/tran/6530
published as Part 1: Trans. Amer. Math. Soc. 368 (2016) 5565-5577. Part 2: Adv. Stud. Pure Math. 73 (2017) Hyperbolic Geometry and Geometric Group Theory, pp. 135-158 · The two parts of this work have been through different publishing processes. The main reason of this is that part 2, and only part 2, relies at the time of writing on unpublished material. The two parts are shown here in a single arXiv document, numbering has been chosen to match the published versions. 43 pages in total
openalex publication_date 2015/10/20 · openalex created_date 2016/06/24 · arxiv created 2016/07/19 · arxiv updated 2020/07/20 · openalex updated_date 2026/08/05
We remark that the conjugacy problem for pairs of hyperbolic automorphisms of a finitely presented group (typically a free group) is decidable. The solution that we propose uses the isomorphism problem for the suspensions, and the study of their automorphism group.