28 citations · 158 across the 26 of their papers we have counts for
22 papers · 1 filter
On free components of Artin and Coxeter groups
Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli +1
The number of connected components can be remembered by the von Neumann algebra among Artin groups, the only possible exception being the case that corresponds to the free group fa…
Labeled four cycles and the -conjecture for Artin groups
Jingyin Huang
We show that for a large class of Artin groups with Dynkin diagrams being a tree, the -conjecture holds. We also establish the -conjecture for another class of Arti…
New Garside structures and applications to Artin groups
Thomas Haettel, Jingyin Huang
Garside groups are combinatorial generalizations of braid groups which enjoy many nice algebraic, geometric, and algorithmic properties. In this article we propose a method for tur…
Lattices, Garside structures and weakly modular graphs
Thomas Haettel, Jingyin Huang
In this article we study combinatorial non-positive curvature aspects of various simplicial complexes with natural shaped simplicies, including Euclidean buildings…
Measure equivalence rigidity among the Higman groups
Camille Horbez, Jingyin Huang
We prove that all (generalized) Higman groups on at least generators are superrigid for measure equivalence. More precisely, let , and let be a group with generator…
Orbit equivalence rigidity of irreducible actions of right-angled Artin groups
Camille Horbez, Jingyin Huang, Adrian Ioana
Let and be two free measure-preserving actions of one-ended right-angled Artin groups with trivial center on standard probability sp…
Measure equivalence classification of transvection-free right-angled Artin groups
Camille Horbez, Jingyin Huang
We prove that if two transvection-free right-angled Artin groups are measure equivalent, then they have isomorphic extension graphs. As a consequence, two right-angled Artin groups…
Proper proximality in non-positive curvature
Camille Horbez, Jingyin Huang, Jean Lécureux
Proper proximality of a countable group is a notion that was introduced by Boutonnet, Ioana and Peterson as a tool to study rigidity properties of certain von Neumann algebras asso…
Boundary amenability and measure equivalence rigidity among two-dimensional Artin groups of hyperbolic type
Camille Horbez, Jingyin Huang
We study -dimensional Artin groups of hyperbolic type from the viewpoint of measure equivalence, and establish rigidity theorems. We first prove that they are boundary amenable.…
Virtual Specialness of certain graphs of special cube complexes
Jingyin Huang, Daniel T. Wise
We investigate the virtual specialness of a compact cube complex that splits as a graph of nonpositively curved cube complexes. We prove virtual specialness of when each ve…
Stature and separability in graphs of groups
Jingyin Huang, Daniel T. Wise
We introduce the notion of finite stature of a family of subgroups of a group . We investigate the separability of subgroups of a group that splits as a graph of h…
Helly meets Garside and Artin
Jingyin Huang, Damian Osajda
A graph is Helly if every family of pairwise intersecting combinatorial balls has a nonempty intersection. We show that weak Garside groups of finite type and FC-type Artin groups…
Commensurators of abelian subgroups in CAT(0) groups
Jingyin Huang, Tomasz Prytuła
We study the structure of the commensurator of a virtually abelian subgroup in , where acts properly on a space . When is a Hadamard manifold an…
Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications
Jingyin Huang, Damian Osajda
We describe the structure of quasiflats in two-dimensio\-nal Artin groups. We rely on the notion of metric systolicity developed in our previous work. Using this weak form of non-p…
Metric systolicity and two-dimensional Artin groups
Jingyin Huang, Damian Osajda
We introduce the notion of metrically systolic simplicial complexes. We study geometric and large-scale properties of such complexes and of groups acting on them geometrically. We…
A step towards Twist Conjecture
Jingyin Huang, Piotr Przytycki
Under the assumption that a defining graph of a Coxeter group admits only twists in and is of type FC, we prove Mühlherr's Twist Conjecture.
Large-type Artin groups are systolic
Jingyin Huang, Damian Osajda
We prove that Artin groups from a class containing all large-type Artin groups are systolic. This provides a concise yet precise description of their geometry. Immediate consequenc…
Hyperfiniteness of boundary actions of cubulated hyperbolic groups
Jingyin Huang, Marcin Sabok, Forte Shinko
We show that if a hyperbolic group acts geometrically on a CAT(0) cube complex, then the induced boundary action is hyperfinite. This means that for a cubulated hyperbolic group th…
Groups quasi-isometric to RAAG's
Jingyin Huang, Bruce Kleiner
We characterize groups quasi-isometric to a right-angled Artin group with finite outer automorphism group. In particular all such groups admit a geometric action on a …
Cocompactly cubulated 2-dimensional Artin groups
Jingyin Huang, Kasia Jankiewicz, Piotr Przytycki
We give a necessary and sufficient condition for a 2-dimensional or a three-generator Artin group to be (virtually) cocompactly cubulated, in terms of the defining graph of …
Quasi-isometric classification of right-angled Artin groups I: the finite out case
Jingyin Huang
Let and be two right-angled Artin groups (RAAG). We show they are quasi-isometric iff they are isomorphic, under the assumption that and are finite. If…
Top dimensional quasiflats in cube complexes
Jingyin Huang
We show that every -quasiflat in a -dimensional cube complex is at finite Hausdorff distance from a finite union of -dimensional orthants. Then we introduce a cla…