A finite presentation for the hyperelliptic mapping class group of a nonorientable surface

Abstract

We obtain a simple presentation of the hyperelliptic mapping class group $M^h(N)$ of a nonorientable surface N. As an application we compute the first homology group of $M^h(N)$ with coefficients in $H_1(N;Z)$.

Updated references

References in corpus (2)

• A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
• A presentation for the mapping class group of a nonorientable surface

Cited by in corpus (3)

• A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
• The first homology group of the mapping class group of a nonorientable surface with twisted coefficients
• The mapping class group of a nonorientable surface is quasi-isometrically embedded in the mapping class group of the orientation double cover