Generating mapping class groups of nonorientable surfaces with boundary

Abstract

We obtain simple generating sets for various mapping class groups of a nonorientable surface with punctures and/or boundary. We also compute the abelianizations of these mapping class groups.

References in corpus (4)

• Low-dimensional homology groups of mapping class groups: a survey
• Dehn twists on nonorientable surfaces
• Commensurability of geometric subgroups of mapping class groups
• A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves

Cited by in corpus (13)

• Homological stability for the mapping class groups of non-orientable surfaces
• A presentation for the mapping class group of the closed non-orientable surface of genus 4
• 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
• A finite presentation for the twist subgroup of the mapping class group of a nonorientable surface
• Crosscap slides and the level 2 mapping class group of a nonorientable surface
• Topological representations of motion groups and mapping class groups -- a unified functorial construction
• The first homology group of the mapping class group of a nonorientable surface with twisted coefficients
• Low dimensional linear representations of the mapping class group of a nonorientable surface
• The twist subgroup of the mapping class group of a nonorientable surface
• First integral cohomology group of the pure mapping class group of a non-orientable surface of infinite type
• On finite index subgroups of the mapping class group of a nonorientable surface
• Generating the mapping class group of a nonorientable surface by crosscap transpositions