The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups

From MaRDI portal
Publication:4846127

DOI10.2307/2152924zbMath0833.51006OpenAlexW4231208531WikidataQ115018894 ScholiaQ115018894MaRDI QIDQ4846127

Michael W. Davis, Ruth M. Charney

Publication date: 21 August 1995

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2152924




Related Items (72)

CAT(0) cube complexes with flat hyperplanesOn the Finiteness length of some soluble linear groupsHomology of even Artin kernelsHyperplanes of Squier's cube complexesTits Alternative for -dimensional complexesThe Deligne complex for the four-strand braid groupCocompactly cubulated 2-dimensional Artin groupsCoxeter transformation groups and reflection arrangements in smooth manifoldsOn the isomorphism problem for even Artin groupsA Deligne complex for Artin monoidsAn introduction to right-angled Artin groups.Artin-Tits groups with CAT(0) Deligne complex.Automorphisms and abstract commensurators of 2-dimensional Artin groups.Parabolic subgroups of Artin groupsGeneralized small cancellation conditions, non-positive curvature and diagrammatic reducibility\(K(\pi,1)\) and word problems for infinite type Artin-Tits groups, and applications to virtual braid groups.Parabolic subgroups of two‐dimensional Artin groups and systolic‐by‐function complexesHyperbolicities in CAT(0) cube complexesA class of Artin groups in which the \(K( \pi ,1)\) conjecture holdsBetween buildings and free factor complexes: A Cohen–Macaulay complex for Out(RAAGs)Right‐angled Artin subgroups of Artin groupsExtra-large type Artin groups are hierarchically hyperbolicParabolic subgroups in FC-type Artin groupsHigher generating subgroups and Cohen–Macaulay complexesRamification conjecture and Hirzebruch’s property of line arrangementsCohomological rigidity of manifolds defined by 3-dimensional polytopesOn the Σ$\Sigma$‐invariants of Artin groups satisfying the K(π,1)$K(\pi,1)$‐conjectureCohomology of affine Artin groups and applicationsGroups quasi-isometric to right-angled Artin groupsRight-angularity, flag complexes, asphericityGroups acting on CAT(0) cube complexes with uniform exponential growthThe simplicial boundary of a CAT(0) cube complexWeighted sheaves and homology of Artin groupsCohomology computations for Artin groups, Bestvina-Brady groups, and graph products.On embeddings of CAT(0) cube complexes into products of trees via colouring their hyperplanesSalvetti complex, spectral sequences and cohomology of Artin groups.\(K(\pi,1)\) conjecture for Artin groups.Discrete approximations for complex Kac-Moody groupsReflection groups on Riemannian manifoldsGraphs of some CAT(0) complexesPoly-freeness of even Artin groups of FC typeThe asymptotic geometry of right-angled Artin groups. I.Note on the residual finiteness of Artin groupsOn the \(\Sigma\)-invariants of Artin groups.Complexes and exactness of certain Artin groups.Completions, branched covers, Artin groups, and singularity theoryThe automorphism group of a graph product with no SIL.Relative hyperbolicity and Artin groups.Proof of the \(K(\pi,1)\) conjecture for affine Artin groupsRelative hyperbolicity and Artin groups.On a conjecture in Artin groupsLectures on Artin Groups and the $$K(\pi ,1)$$ ConjectureHelly meets Garside and ArtinRandom coxeter groupsMetric systolicity and two-dimensional Artin groupsPoly-freeness of Artin groups and the Farrell-Jones conjectureArtin groups of infinite type: Trivial centers and acylindrical hyperbolicityAcylindrical hyperbolicity for Artin groups of dimension \(2\)The action dimension of Artin groupsOn the sigma-invariants of even Artin groups of FC-typeTits alternative for Artin groups of type FCSymmetrical subgroups of Artin groupsThe word problem for Artin groups of FC typeArtin groups, rewriting systems and three-manifoldsNon-positively curved aspects of Artin groups of finite typeThe conjugacy stability problem for parabolic subgroups in Artin groupsThe \(K(\pi,1)\)-conjecture implies the center conjecture for Artin groupsConfiguration spaces of labeled particles and finite Eilenberg-MacLane complexesOn parabolic submonoids of a class of singular Artin monoidsInjective morphisms between Artin-Tits groupsAbelian subgroups of two‐dimensional Artin groupsParabolic subgroups of large-type Artin groups




This page was built for publication: The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups