PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY

DOI10.1142/S021819671350029XzbMath1292.20041arXiv1204.5672OpenAlexW4300695797MaRDI QIDQ2854967

Eddy Godelle, Luis Paris

Publication date: 24 October 2013

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5672

zbMATH Keywords

parabolic subgroupspresentationsword problemamalgamated productsGarside groupsArtin-Tits groupspreGarside groupspreGarside monoids

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (2)

On fusion control in FC type Artin-Tits groups ⋮ Cyclic amalgams, HNN extensions, and Garside one-relator groups

Cites Work

• A Garside presentation for Artin-Tits groups of type \(\widetilde C_n\).
• Artin groups of finite type are biautomatic
• Artin-Tits groups with CAT(0) Deligne complex.
• Alternating normal forms for braids and locally Garside monoids.
• Solving the conjugacy problem in Garside groups by cyclic sliding.
• Parabolic subgroups of Garside groups. II: Ribbons.
• Left-Garside categories, self-distributivity, and braids
• Gaussian groups are torsion free
• A note on words in braid monoids
• The word problem for Artin groups of FC type
• Geodesic automation and growth functions for Artin groups of finite type
• Locally non-spherical Artin groups
• A geometric rational form for Artin groups of FC type.
• Artin monoids inject in their groups
• Parabolic subgroups of Artin groups of type FC.
• \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
• Parabolic subgroups of Garside groups.
• Dual presentations of braid groups of affine type \(\widetilde A\).
• Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• On the structure of semigroups
• A Result on Free Products with Amalgamation
• Embedding Theorems with Amalgamation for Semigroups^†
• Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups
• ON THE WORD PROBLEM FOR TENSOR PRODUCTS AND AMALGAMS OF MONOIDS
• THE BRAID GROUP AND OTHER GROUPS

This page was built for publication: PREGARSIDE MONOIDS AND GROUPS, PARABOLICITY, AMALGAMATION, AND FC PROPERTY