Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces
Geometric Topology
2009-04-22 v1
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.
Cite
@article{arxiv.0904.3129,
title = {Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces},
author = {Ferihe Atalan},
journal= {arXiv preprint arXiv:0904.3129},
year = {2009}
}
Comments
21 pages,8 figures