A Note on Automorphisms of the Sphere Complex

Proceedings Mathematical Sciences

Suhas Pandit¹ 

[1] Mathematics Section, The Abdus Salam International Center for Theoretical Physics, Trieste, Italy$$

关键词: Free groups;    splittings of a group;    the sphere complex.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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 $M=sharp_nS^2× S^1$ is isomorphic to the group Out $(F_n)$ of outer automorphisms of the free group $F_n$ of rank 𝑛 ≥ 3.

【 授权许可】

Unknown