Lattices, Garside structures and weakly modular graphs

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of matroids and geometric lattices (05B35) Groups with a (BN)-pair; buildings (20E42) Semilattices (06A12)

Cites Work

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Systolizing buildings
Bucolic complexes
A Garside presentation for Artin-Tits groups of type \(\widetilde C_n\).
Curve graphs and Garside groups
Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). II: The cases \(q=2\) and \(q=3\)
Simplicial nonpositive curvature
A Helly theorem in weakly modular space
Non-positively curved aspects of Artin groups of finite type
Artin groups of Euclidean type
Acylindrical hyperbolicity and Artin-Tits groups of spherical type
Graphs of some CAT(0) complexes
Helly meets Garside and Artin
Uniform modular lattices and affine buildings
Braid groups of imprimitive complex reflection groups.
Dual Euclidean Artin groups and the failure of the lattice property.
Foundations of Garside theory
Finite complex reflection arrangements are \(K(\pi,1)\)
Automorphism groups of some affine and finite type Artin groups.
Homological stability for the mapping class groups of non-orientable surfaces
Non-crossing partitions of type \((e,e,r)\).
Dual presentations of braid groups of affine type \(\widetilde A\).
Representations of the braid group by automorphisms of groups, invariants of links, and Garside groups.
Normalisateurs de tores. I: Groupes de Coxeter etendus
Les immeubles des groupes de tresses généralises
INJECTIVE HULLS OF CERTAIN DISCRETE METRIC SPACES AND GROUPS
A new Garside structure for the braid groups of type (e, e, r )
The dual braid monoid
Weakly Modular Graphs and Nonpositive Curvature
Buildings
On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
Large‐type Artin groups are systolic
Hyperbolic rigidity of higher rank lattices
A lattice in a residually non-Desarguesian A∼2-building
Boundaries, rigidity of representations, and Lyapunov exponents
Parabolic subgroups of large-type Artin groups
Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexes
Systolic complexes and group presentations
Injective metrics on buildings and symmetric spaces
Crystallographic Helly groups
Weak modularity and \(\widetilde{A}_n\) Coxeter groups