Labeled four cycles and the \(K(\pi,1)\)-conjecture for Artin groups
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Publication:6647737
DOI10.1007/S00222-024-01294-WMaRDI QIDQ6647737
Publication date: 3 December 2024
Published in: Inventiones Mathematicae (Search for Journal in Brave)
General structure theorems for groups (20E34) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Reflection groups, reflection geometries (51F15)
Cites Work
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- Braids, posets and orthoschemes
- Artin groups and infinite Coxeter groups
- The \(K(\pi,1)\) problem for the affine Artin group of type \(\widetilde B_n\) and its cohomology.
- Artin-Tits groups with CAT(0) Deligne complex.
- Gated sets in metric spaces
- Hyperplane complements of large type
- Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
- Modular elements of lattices and topological fibration
- A Helly theorem in weakly modular space
- Das \(K(\pi,1)\)-Problem für die affinen Wurzelsysteme vom Typ \(A_n\), \(C_n\)
- Non-positively curved aspects of Artin groups of finite type
- \(K(\pi,1)\) arrangements
- Geodesic automation and growth functions for Artin groups of finite type
- Parabolic subgroups of Artin groups
- Normalizer and Artin group of spherical type.
- The \(K(\pi,1)\)-conjecture for the affine braid groups.
- Symmetrical subgroups of Artin groups
- Combinatorial group theory.
- Artin groups of Euclidean type
- Artin monoids inject in their groups
- Artin groups of spherical type up to isomorphism.
- Nonpositively curved metrics on 2-polyhedra
- \(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.
- Completions, branched covers, Artin groups, and singularity theory
- Proof of the \(K(\pi,1)\) conjecture for affine Artin groups
- The \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groups
- Uniform modular lattices and affine buildings
- Parabolic subgroups in FC-type Artin groups
- The \(K(\pi ,1)\) conjecture for a class of Artin groups
- On parabolic subgroups of Artin-Tits groups of spherical type
- On the minimal positive standardizer of a parabolic subgroup of an Artin-Tits group
- Finite complex reflection arrangements are \(K(\pi,1)\)
- Relatively extra-large Artin groups
- \(K(\pi,1)\) conjecture for Artin groups.
- Convex geodesic bicombings and hyperbolicity
- Les immeubles des groupes de tresses généralises
- Artin-Gruppen und Coxeter-Gruppen
- The Tits conjecture for locally reducible Artin groups
- FANS AND LADDERS IN SMALL CANCELLATION THEORY
- Weakly Modular Graphs and Nonpositive Curvature
- Topology of Factored Arrangements of Lines
- The Deligne complex for the four-strand braid group
- The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
- Basic Questions on Artin-Tits groups
- Bordifications of hyperplane arrangements and their curve complexes
- The mysterious geometry of Artin groups
- The Braid Groups.
- Parabolic subgroups of large-type Artin groups
- Parabolic subgroups inside parabolic subgroups of Artin groups
- Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexes
- Injective metrics on buildings and symmetric spaces
- A class of Artin groups in which the \(K( \pi ,1)\) conjecture holds
- On parabolic subgroups of Artin-Tits groups
- Lattices, Garside structures and weakly modular graphs
- The \(K(\pi, 1)\) conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups
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