An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface

2020/09/04 by Kobayashi, Ryoma, Omori, Genki
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2009.02022

Abstract

A finite presentation for the subgroup of the mapping class group of a compact non-orientable surface generated by all Dehn twists was given by Stukow. In this paper, we give an infinite presentation for this group, mainly using the presentation given by Stukow and Birman exact sequences on mapping class groups of non-orientable surfaces.

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