The mapping class group of a nonorientable surface is generated by three elements and by four involutions.

DOI10.1007/s10711-005-9004-5zbMath1091.57014OpenAlexW1998548428MaRDI QIDQ2494085

Błażej Szepietowski

Publication date: 16 June 2006

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-005-9004-5

zbMATH Keywords

generatorsinvolutionsmapping class groupnonorientable surfaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38)

Related Items

Generating the twist subgroup by involutions ⋮ Generating the mapping class group of a nonorientable surface by three torsions ⋮ Counting intersections of normal curves ⋮ A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves ⋮ A presentation for the mapping class group of the closed non-orientable surface of genus 4 ⋮ Torsion generators of the twist subgroup ⋮ Generating the mapping class group of a nonorientable surface by two elements or by three involutions

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