Non-positively curved aspects of Artin groups of finite type

DOI10.2140/gt.1999.3.269zbMath0998.20034arXivmath/9812011OpenAlexW2165821864MaRDI QIDQ1297822

Mladen Bestvina

Publication date: 19 September 1999

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9812011

zbMATH Keywords

braid groupsnonpositive curvatureArtin groups of finite type

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (39)

Artin groups of spherical type up to isomorphism. ⋮ Cubulation of some triangle-free Artin groups ⋮ An introduction to right-angled Artin groups. ⋮ Garside groups are strongly translation discrete. ⋮ Translation lengths of outer automorphisms of finitely generated free-by-finite groups ⋮ Garside groups and geometry: Some thoughts for Patrick Dehornoy ⋮ Homology of Gaussian groups. ⋮ Systolic complexes and group presentations ⋮ Local-to-asymptotic topology for cocompact CAT(0) complexes. ⋮ Extra-large type Artin groups are hierarchically hyperbolic ⋮ Abelian Subgroups of Garside Groups ⋮ Generalization of the Dehornoy-Lafont order complex to categories: application to exceptional braid groups ⋮ Periodic elements in Garside groups. ⋮ Cohomology computations for Artin groups, Bestvina-Brady groups, and graph products. ⋮ THE TITS CONJECTURE FOR LOCALLY REDUCIBLE ARTIN GROUPS ⋮ Asymptotic combinatorics of Artin-Tits monoids and of some other monoids ⋮ Uniform measures on braid monoids and dual braid monoids ⋮ The last incoherent Artin group ⋮ Conjugacy in Garside groups. II: Structure of the ultra summit set. ⋮ Curve graphs and Garside groups ⋮ Braid groups of imprimitive complex reflection groups. ⋮ Non-crossing partition lattices in finite real reflection groups ⋮ Translation numbers in a Garside group are rational with uniformly bounded denominators. ⋮ Finite transducers for divisibility monoids ⋮ Configuration Lie groupoids and orbifold braid groups ⋮ Helly meets Garside and Artin ⋮ Fixed Points of Endomorphisms and Metrics in preGarside Monoids ⋮ Metric systolicity and two-dimensional Artin groups ⋮ Poly-freeness of Artin groups and the Farrell-Jones conjecture ⋮ The Farrell–Jones conjecture for normally poly-free groups ⋮ Acylindrical hyperbolicity for Artin groups of dimension \(2\) ⋮ Abstract homomorphisms from locally compact groups to discrete groups ⋮ XXL type Artin groups are CAT(0) and acylindrically hyperbolic ⋮ ON WORD REVERSING IN BRAID GROUPS ⋮ Poly-free constructions for right-angled Artin groups ⋮ The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups ⋮ Euclidean Artin-Tits groups are acylindrically hyperbolic ⋮ Finite complex reflection arrangements are \(K(\pi,1)\) ⋮ Connectivity at infinity for right angled Artin groups

Cites Work

• Unnamed Item
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• Unnamed Item
• Small cancellation theory and automatic groups. II
• Artin groups of finite type are biautomatic
• Geodesic automation and growth functions for Artin groups of finite type
• Morse theory and finiteness properties of groups
• Improper actions and higher connectivity at infinity
• The topology at infinity of \(\text{Out} (F_n)\)
• Les immeubles des groupes de tresses généralises
• Artin-Gruppen und Coxeter-Gruppen
• Connectivity at infinity for right angled Artin groups
• The Homological Algebra of Artin Groups.
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• Discreteness properties of translation numbers in solvable groups
• THE BRAID GROUP AND OTHER GROUPS
• Artin groups of finite type with three generators

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