6 papers
Fit systolic groups, exactly
MartÃn 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…
Boundary rigidity of systolic and Helly complexes
MartÃn 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…
Strong solidity classification of Coxeter groups
MartÃn 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…
On the twisted conjugacy problem for large-type Artin groups
MartÃn 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…
Homomorphisms between XL-type Artin groups
MartÃn 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…
When is a TRAAG orderable?
Yago AntolÃn, MartÃn 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…