Normal closures of powers of Dehn twists in mapping class groups

DOI10.1017/S0017089500008879zbMath0760.57005MaRDI QIDQ4016244

Stephen P. Humphries

Publication date: 16 December 1992

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

mapping class groupDehn twistnormal closure

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Differential topological aspects of diffeomorphisms (57R50)

Related Items

Notes on hyperelliptic mapping class groups, ON POWERS OF HALF-TWISTS IN M(0, 2n), The level four braid group, The normal closure of big Dehn twists and plate spinning with rotating families, Edge-preserving maps of curve graphs, Quotients of the mapping class group by power subgroups, The normal closure of a power of a half-twist has infinite index in the mapping class group of a punctured sphere, Relative homological representations of framed mapping class groups, Braid groups and mapping class groups: The Birman–Hilden theory, An expansion of the Jones representation of genus \(2\) and the Torelli group, Congruence subgroups of braid groups

Cites Work

• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• Hecke algebra representations of braid groups and link polynomials
• Zur Theorie der Siegelschen Modulgruppe
• Braids, Links, and Mapping Class Groups. (AM-82)
• Two Theorems on the Mapping Class Group of a Surface