Metric systolicity and two-dimensional Artin groups
From MaRDI portal
Publication:2314796
DOI10.1007/s00208-019-01823-6OpenAlexW2964071325WikidataQ128061703 ScholiaQ128061703MaRDI QIDQ2314796
Publication date: 30 July 2019
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.05157
Geometric group theory (20F65) Braid groups; Artin groups (20F36) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06)
Related Items
Morse quasiflats. I, Cubulation of some triangle-free Artin groups, Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility, Strictly systolic angled complexes and hyperbolicity of one-relator groups, Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexes, Quadric complexes, Extra-large type Artin groups are hierarchically hyperbolic, Graphs with convex balls, Helly meets Garside and Artin, Acylindrical hyperbolicity for Artin groups of dimension \(2\), XXL type Artin groups are CAT(0) and acylindrically hyperbolic, Distance labeling schemes for \(K_4\)-free bridged graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The 6-strand braid group is \(\mathrm{CAT}(0)\).
- A Garside presentation for Artin-Tits groups of type \(\widetilde C_n\).
- Lifting group actions, equivariant towers and subgroups of non-positively curved groups.
- Braids, posets and orthoschemes
- Artin groups and infinite Coxeter groups
- Small cancellation theory and automatic groups. II
- Artin groups of finite type are biautomatic
- Boundaries of systolic groups.
- Simplicial nonpositive curvature
- Flats and the flat torus theorem in systolic spaces.
- On Tit's conjecture and other questions concerning Artin and generalized Artin groups
- Non-positively curved aspects of Artin groups of finite type
- Graph groups are biautomatic
- Algorithms and geometry for graph products of groups
- Geodesic automation and growth functions for Artin groups of finite type
- Locally non-spherical Artin groups
- Three-generator Artin groups of large type are biautomatic
- Combinatorial group theory.
- Artin groups of Euclidean type
- Classifying spaces for families of subgroups for systolic groups
- Automorphisms of graph groups.
- Two-dimensional Artin groups with CAT(0) dimension three.
- Artin groups of extra-large type are biautomatic
- Graphs of some CAT(0) complexes
- Metric-minimizing surfaces revisited
- Dual Euclidean Artin groups and the failure of the lattice property.
- Automorphism groups of some affine and finite type Artin groups.
- Automorphisms and abstract commensurators of 2-dimensional Artin groups.
- Filling invariants of systolic complexes and groups.
- Dual presentations of braid groups of affine type \(\widetilde A\).
- Regular path systems and (bi)automatic groups.
- Les immeubles des groupes de tresses généralises
- Artin-Gruppen und Coxeter-Gruppen
- Three-dimensional FC Artin groups are CAT(0).
- Convexity of parabolic subgroups in Artin groups
- The conjugacy problem in subgroups of right-angled Artin groups
- The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
- Discreteness properties of translation numbers in solvable groups
- Large‐type Artin groups are systolic
- Dismantlability of weakly systolic complexes and applications
- THE BRAID GROUP AND OTHER GROUPS
- Artin groups of finite type with three generators