Conjugacy in Garside groups. II: Structure of the ultra summit set.

DOI10.4171/GGD/30zbMath1163.20023arXivmath/0606652MaRDI QIDQ2475043

Joan S. Birman, Volker Gebhardt, Juan González-Meneses

Publication date: 20 March 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606652

zbMATH Keywords

algorithmsbraid groupsrigidityGarside groupsnormal form theoremsconjugacy search problemconjugacy decision problemiterated cyclingsiterated powersstable ultra summit sets

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (13)

On the centralizer of generic braids ⋮ Garside theory and subsurfaces: some examples in braid groups ⋮ Recognizing trace graphs of closed braids ⋮ Affine braid groups: a better platform than braid groups for cryptology? ⋮ Periodic elements in Garside groups. ⋮ Reducible braids and Garside theory. ⋮ Fast Nielsen-Thurston classification of braids. ⋮ Algorithmic recognition of quasipositive braids of algebraic length two. ⋮ Conjugacy in Garside groups. III: Periodic braids. ⋮ The cyclic sliding operation in Garside groups. ⋮ A 1-parameter approach to links in a solid torus ⋮ On the cycling operation in braid groups. ⋮ Left-Garside categories, self-distributivity, and braids

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