paper

Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces

arXiv:0904.3129

Abstract

Let Ng be the connected closed nonorientable surface of genus g >= 5 and Mod(Ng) denote the mapping class group of Ng. We prove that the outer automorphism group of Mod(Ng) is either trivial or Z if g is odd, and injects into the mapping class group of sphere with four holes if g is even.

21 pages,8 figures

Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces · wovepaper