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math.GTAug 27, 2013
10
citations (OpenAlex)
authors
  • Luis Paris
  • Blazej Szepietowski
institutions
  • University of Gdańsk
arXiv abstractPDF
paper

A presentation for the mapping class group of a nonorientable surface

arXiv:1308.5856

Abstract

Let Ng,n​ denote the nonorientable surface of genus g with n boundary components and M(Ng,n​) its mapping class group. We obtain an explicit finite presentation of M(Ng,n​) for n=0,1 and all g such that g+n>3.

Cited by in corpus (9)

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  • A normal generating set for the Torelli group of a non-orientable closed surface
  • A finite generating set for the level 2 twist subgroup of the mapping class group of a closed non-orientable surface
  • A finite presentation for the automorphism group of the first homology of a non-orientable surface over Z2​ preserving the mod 2 intersection form
  • A normal generating set for the Torelli group of a compact non-orientable surface
  • Mapping class groups and function spaces: a survey
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