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20192026
most citedStrictly systolic angled complexes and hyperbolicity of one-relator groups

2 citations · 3 across the 10 of their papers we have counts for

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math.GR2026

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…

math.GR2024

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…

math.GR2024

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…

math.GR2024

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…

math.GR2023★ 1 cited

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…

math.GR2022

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…

math.GR2021

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…

math.GR2020

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…

math.GR2019★ 2 cited

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…