2 citations · 3 across the 10 of their papers we have counts for
11 papers
Fit systolic groups, exactly
Martín Blufstein, Victor Chepoi, Huaitao Gui +1
A systolic complex/bridged graph is fit when its (metric) intervals are "not too large". We prove that uniformly locally finite fit systolic complexes have Yu's Property A. In part…
Strong solidity classification of Coxeter groups
Martín Blufstein, Katherine Goldman, Koichi Oyakawa
We prove the dichotomy that every Coxeter group either has a strongly solid group von Neumann algebra or contains the product of an infinite cyclic group and a free group of rank 2…
Boundary rigidity of systolic and Helly complexes
Martín Blufstein, Jérémie Chalopin, Victor Chepoi
In this article, we prove that finite (weakly) systolic and Helly complexes can be reconstructed from their boundary distances (computed in their 1-skeleta). Furthermore, Helly com…
On the twisted conjugacy problem for large-type Artin groups
Martín Blufstein, Motiejus Valiunas
We show that the twisted conjugacy problem is solvable for large-type Artin groups whose outer automorphism group is finite, generated by graph automorphisms and the global inversi…
When is a TRAAG orderable?
Yago Antolín, Martín Blufstein, Luis Paris
We characterize, in terms of the defining graph, when a twisted right-angled Artin group (a group whose only relations among pairs of generators are either commuting or Klein-bottl…
Homomorphisms between XL-type Artin groups
Martín Blufstein, Alexandre Martin, Nicolas Vaskou
We study homomorphisms between XL-type Artin groups and show that, in a suitable sense, a generic Artin group is both hopfian and co-hopfian. For XL-type Artin groups over complete…
A -complex with contracting non-positive immersions and positive maximal irreducible curvature
Martin Axel Blufstein, Elias Gabriel Minian
We prove that the -complex associated to the presentation has contracting non-positive immersions and positive maximal irreducible cur…
Parabolic subgroups inside parabolic subgroups of Artin groups
Martin Axel Blufstein, Luis Paris
We prove that a parabolic subgroup contained in another parabolic subgroup of an Artin group is a parabolic subgroup of . This answers a question of Godelle which…
Parabolic subgroups of two-dimensional Artin groups and systolic-by-function complexes
Martin Axel Blufstein
We extend previous results by Cumplido, Martin and Vaskou on parabolic subgroups of large-type Artin groups to a broader family of two-dimensional Artin groups. In particular, we p…
Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility
Martin Axel Blufstein, Elias Gabriel Minian, Iván Sadofschi Costa
We present a metric condition which describes the geometry of classical small cancellation groups and applies also to other known classes of groups such as two-dimensi…
Strictly systolic angled complexes and hyperbolicity of one-relator groups
Martin Axel Blufstein, Elias Gabriel Minian
We introduce the notion of strictly systolic angled complexes. They generalize Januszkiewickz and Świątkowski's -systolic simplicial complexes and also their metric counterparts…