Geometric, Algebraic, and Topological Methods for Studying Outer Automorphism Groups of Free Groups

Farnham, Darien J.


  • This thesis aims at giving a brief survey of a few of the algebraic, geometric, and topological techniques used in developing the theory of $Out(F_n)$, the outer automorphism group of the free group on $n$ generators. Much of the study of $Out(F_n)$ has been developed through analogies and connections with mapping class groups and general linear groups. Throughout this paper, we will repeatedly ... read more
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