Garside theory and subsurfaces: some examples in braid groups

DOI10.1515/gcc-2019-2007zbMath1435.20049arXiv1807.01500OpenAlexW2982169973MaRDI QIDQ2178746

Saul Schleimer, Bert Wiest

Publication date: 11 May 2020

Published in: Groups, Complexity, Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01500

zbMATH Keywords

braid groupconjugacy problemsubsurface projectionGarside theoryrigid braids

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (1)

Garside groups and geometry: Some thoughts for Patrick Dehornoy

Uses Software

• CBraid
• OEIS
• GitHub
• Curver

Cites Work

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• The cyclic sliding operation in Garside groups.
• A new approach to the word and conjugacy problems in the braid groups
• Geometry of the complex of curves. II: Hierarchical structure
• Fast Nielsen-Thurston classification of braids.
• Conjugacy in Garside groups. I: Cyclings, powers and rigidity.
• Conjugacy in Garside groups. II: Structure of the ultra summit set.
• On reduction curves and Garside properties of braids
• Groupes de Garside
• ALGORITHMS FOR POSITIVE BRAIDS
• BRAIDS AND THE NIELSEN-THURSTON CLASSIFICATION
• Mapping class groups are automatic

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