Finite presentations for the mapping class group via the ordered complex of curves

DOI10.1515/advg.2001.018zbMath0983.57015OpenAlexW2055976909MaRDI QIDQ2736578

Silvia Benvenuti

Publication date: 16 September 2001

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121753

zbMATH Keywords

inductive process

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) General low-dimensional topology (57M99) Braid groups; Artin groups (20F36) Other groups related to topology or analysis (20F38)

Related Items

The complex of pant decompositions of a surface ⋮ Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ A presentation for the mapping class group of a non-orientable surface from the action on the complex of curves ⋮ 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 presentation for the mapping class group of the closed non-orientable surface of genus 4

Cites Work

• Actions and irreducible representations of the mapping class group
• Braids, Links, and Mapping Class Groups. (AM-82)
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