Universal Upper Bound for the Growth of Artin Monoids

DOI10.1080/00927872.2014.881834zbMath1322.20048arXiv0805.2656OpenAlexW2043103138MaRDI QIDQ5256717

Zaffar Iqbal, Barbu Berceanu

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2656

zbMATH Keywords

generating functionsgrowth ratesArtin groupsrecurrence relationsCoxeter graphsright-angled Artin monoids

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Braid groups; Artin groups (20F36)

Related Items (5)

Recurrence relations and Hilbert series of the monoid associated with star topology ⋮ Growth series of the braid monoid \(\mathrm{MB}_5\) in band generators ⋮ On the generating function and growth of the positive singular braid monoid ⋮ Some recurrence relations and Hilbert series of right-angled affine Artin monoid \(M(\widetilde{D}_n^{\infty})\) ⋮ Hilbert Series of Positive Braids

Cites Work

• Algebraic invariants for right-angled Artin groups.
• Growth of the positive braid semigroups
• The diamond lemma for ring theory
• Geodesic automation and growth functions for Artin groups of finite type
• Statistical properties of locally free groups with applications to braid groups and growth of random heaps
• Uniform uniform exponential growth of subgroups of the mapping class group
• Les immeubles des groupes de tresses généralises
• Theory of braids
• GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE
• THE BRAID GROUP AND OTHER GROUPS
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