A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic.

DOI10.32917/hmj/1372180509zbMath1277.20036OpenAlexW1589815013WikidataQ128871948 ScholiaQ128871948MaRDI QIDQ372588

Takao Satoh, Michihiko Fujii

Publication date: 9 October 2013

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

Full work available at URL: https://projecteuclid.org/euclid.hmj/1372180509

zbMATH Keywords

growth seriesbraid groupsArtin generatorsArtin groups of finite typegeodesic representatives

Mathematics Subject Classification ID

Combinatorics on words (68R15) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Growth functions of surface groups
• Artin groups of finite type are biautomatic
• Growth functions associated with Artin monoids of finite type.
• The combinatorial structure of cocompact discrete hyperbolic groups
• Growth functions on Fuchsian groups and the Euler characteristic
• Growth of the positive braid semigroups
• Geodesic automation and growth functions for Artin groups of finite type
• A note on curvature and fundamental group
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE
• Bijective combinatorics of positive braids
• Growth Functions and Automatic Groups
• Minimum crossing numbers for 3-braids
• THE BRAID GROUP AND OTHER GROUPS

This page was built for publication: A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic.