GROWTH SERIES FOR ARTIN GROUPS OF DIHEDRAL TYPE

DOI10.1142/S0218196706003360zbMath1142.20018MaRDI QIDQ3430312

Jean Mairesse, Frédéric Mathéus

Publication date: 21 March 2007

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

zbMATH Keywords

automatic groupsArtin groups of dihedral typespherical growth seriestranslation lengthsgeodesic growth series

Mathematics Subject Classification ID

Combinatorics on words (68R15) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Asymptotic properties of groups (20F69) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (18)

Conjugacy languages in groups ⋮ Recurrence relations and Hilbert series of the monoid associated with star topology ⋮ Rewriting systems in sufficiently large Artin-Tits groups. ⋮ Experiments on growth series of braid groups ⋮ Multifraction reduction. IV: Padding and Artin-Tits monoids of sufficiently large type ⋮ A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic. ⋮ Curve diagrams, laminations, and the geometric complexity of braids ⋮ Bredon homology of Artin groups of dihedral type ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Poly-freeness in large even Artin groups ⋮ GROUPS WHOSE GEODESICS ARE LOCALLY TESTABLE ⋮ Randomly growing braid on three strands and the Manta Ray ⋮ Rapid decay and Baum-Connes for large type Artin groups ⋮ Acylindrical hyperbolicity for Artin groups of dimension \(2\) ⋮ Biautomatic structures in systolic Artin groups ⋮ BUSEMANN POINTS OF ARTIN GROUPS OF DIHEDRAL TYPE ⋮ Universal Upper Bound for the Growth of Artin Monoids ⋮ Conjugacy in Artin groups of extra-large type.

Cites Work

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