4 citations · 9 across the 6 of their papers we have counts for
5 papers · 1 filter
Transversals as generating sets in finitely generated groups
Jack Button, Maurice Chiodo, Mariano Zeron-Medina Laris
We explore transversals of finite index subgroups of finitely generated groups. We show that when is a subgroup of a rank group and has index at least in th…
Presentations with negative deficiency and largeness
Mariano Zeron-Medina Laris
We extend the results of M. Edjvet on balanced presentations and largeness by giving conditions under which presentations with negative deficiency define large groups.
Positive rank gradient and p-largeness for groups defined by presentations with p-deficiency less than or equal to one
Mariano Zeron-Medina Laris
It is an immediate consequence of the results by Yiftach and Schlage-Puchta that a presentation with p-deficiency greater than one defines a group with positive rank gradient. By r…
Coset intersection graphs for groups
Jack Button, Maurice Chiodo, Mariano Zeron-Medina Laris
Let H, K be subgroups of G. We investigate the intersection properties of left and right cosets of these subgroups.
Residual Deficiency
Mariano Zeron-Medina Laris
We introduce a new real valued invariant for finitely presented groups called residual deficiency. Its main property is the following. Let G be a finitely presented group. If the r…