• A Note on Automorphisms of the Sphere Complex

• # Fulltext

Permanent link:
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

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

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
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Posted on July 25, 2019

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