Dual Garside structure and reducibility of braids.

DOI10.1016/j.jalgebra.2012.01.022zbMath1268.20038arXiv1105.3675OpenAlexW1992309403MaRDI QIDQ713409

Matthieu Calvez

Publication date: 29 October 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3675

zbMATH Keywords

braid groupsnormal form theoremsNielsen-Thurston classificationdual braidsdual Garside theory

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Group actions on manifolds and cell complexes in low dimensions (57M60)

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On the genericity of loxodromic actions ⋮ Fast Nielsen-Thurston classification of braids. ⋮ Curve graphs and Garside groups ⋮ On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group ⋮ A FAMILY OF PSEUDO-ANOSOV BRAIDS WHOSE SUPER-SUMMIT SETS GROW EXPONENTIALLY

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