15 citations · 40 across the 23 of their papers we have counts for
8 papers · 1 filter
Weakly -slim complexes and the non-positive immersion property for generalized Wirtinger presentations
Agustín Nicolás Barreto, Elias Gabriel Minian
We investigate weakly -slim complexes, a more flexible variant of Helfer and Wise's slim complexes, which can be defined on any regular -covering. We prove that if a -comp…
Local indicability of groups with homology circle presentations
Agustín Nicolás Barreto, Elias Gabriel Minian
We investigate conditions that guarantee local indicability of groups that admit presentations with the homology of a circle, generalizing a result of J. Howie for two-relator pres…
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…
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…
The fundamental group of the -subgroup complex
Elias Gabriel Minian, Kevin Ivan Piterman
We study the fundamental group of the -subgroup complex of a finite group . We show first that is not a free group (here is the alternating group…