• A Note on Automorphisms of the Sphere Complex

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      https://www.ias.ac.in/article/fulltext/pmsc/124/02/0255-0265

    • Keywords

       

      Free groups; splittings of a group; the sphere complex.

    • Abstract

       

      In this note, we shall give another proof of a theorem of Aramayona and Souto, namely the group of simplicial automorphisms of the sphere complex $\mathbb{S}(M)$ associated to the manifold $M=\sharp_nS^2\times S^1$ is isomorphic to the group Out $(F_n)$ of outer automorphisms of the free group $F_n$ of rank $n\geq 3$.

    • Author Affiliations

       

      Suhas Pandit1

      1. Mathematics Section, The Abdus Salam International Center for Theoretical Physics, Trieste, Italy
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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