Growth of the positive braid semigroups

DOI10.1016/0022-4049(92)90078-TzbMath0789.20065OpenAlexW2096415149MaRDI QIDQ1196819

Peijun Xu

Publication date: 16 January 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90078-t

zbMATH Keywords

rationalitygrowth functionsgreedy canonical formpositive braid semigroup

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36)

Related Items (9)

A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic. ⋮ Combinatorics of normal sequences of braids ⋮ On the generating function and growth of the positive singular braid monoid ⋮ Syntactical methods for braids of three strands ⋮ Conjugacy Classes of the 3-Braid Group ⋮ A NOTE ON CLOSED 3-BRAIDS ⋮ Growth functions associated with Artin monoids of finite type. ⋮ GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE ⋮ Universal Upper Bound for the Growth of Artin Monoids

Cites Work

• Unnamed Item
• The combinatorial structure of cocompact discrete hyperbolic groups
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• The orders of the finite Chevalley groups
• A note on curvature and fundamental group
• THE GENUS OF CLOSED 3-BRAIDS
• THE BRAID GROUP AND OTHER GROUPS
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

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