Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces

Details Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces Outer Automorphisms of Mapping Class Groups of Nonorientable Surfaces

2009-04-20

arxiv.org/abs/0904.3129v1

Mathematics

Geometric Topology

21 pages,8 figures

Scientific paper

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.

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