Eduardo Mart'inez-Pedroza

activity

20132021

most citedCoherence and Negative Sectional Curvature in Complexes of Groups

7 citations · 22 across the 9 of their papers we have counts for

collaborators

12 papers

math.GR2021

Bowditch Taut Spectrum and dimensions of groups

Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña

For a finitely generated group $G$ , let $H (G)$ denote Bowditch's taut loop length spectrum. We prove that if $G = (A * B) / ⟨ ⟨ R ⟩ ⟩$ is a $C'(…

math.GR2021★ 3 cited

Quasi-isometry invariance of relative filling functions

Sam Hughes, Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña

For a finitely generated group $G$ and collection of subgroups $P$ we prove that the relative Dehn function of a pair $(G, P)$ is invariant under quasi-isometry…

math.GR2021★ 1 cited

Fixed Point Sets in Diagrammatically Reducible Complexes

Shivam Arora, Eduardo Martínez-Pedroza

Let $H$ be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex $X$ with fine 1-skeleton. If the fixed point set $X^{H}$ is non-empty, then it is…

math.GR2021

A Note on Hyperbolically Embedded Subgroups

Eduardo Martínez-Pedroza, Farhan Rashid

Let $G$ be a group and $H$ a subgroup of $G$ . This note introduces an equivalent definition of hyperbolic embedded subgroup based on Bowditch's approach to relatively hyperbolic gr…

math.GR2020★ 5 cited

Quasi-isometric rigidity of subgroups and Filtered ends

Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña

Let $G$ and $H$ be quasi-isometric finitely generated groups and let $P \leq G$ ; is there a subgroup $Q$ (or a collection of subgroups) of $H$ whose left cosets coarsely reflect the…

math.GR2019★ 3 cited

Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups

Shivam Arora, Ilaria Castellano, Ged Corob Cook +1

This article is part of the program of studying large-scale geometric properties of totally disconnected locally compact groups, TDLC-groups, by analogy with the theory for discret…

math.GR2019

Brown's Criterion and classifying spaces for families

Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña

Let $G$ be a group and $F$ be a family of subgroups closed under conjugation and subgroups. A model for the classifying space $E_{F} G$ is a $G$ -CW-complex $X$ …

math.CO2019

Coarse geometry of the fire retaining property and group splittings

Eduardo Martínez-Pedroza, Tomasz Prytuła

Given a non-decreasing function $f : N \to N$ we define a single player game on (infinite) connected graphs that we call fire retaining. If a graph $G$ admit…

math.GR2018

Subgroups of word hyperbolic groups in rational dimension 2

Shivam Arora, Eduardo Martínez-Pedroza

A result of Gersten states that if $G$ is a hyperbolic group with integral cohomological dimension $cd_{Z} (G) = 2$ then every finitely presented subgroup is hyperbo…

math.GR2017★ 1 cited

A note on the relation between Hartnell's firefighter problem and growth of groups

Eduardo Martínez-Pedroza

The firefighter game problem on locally finite connected graphs was introduced by Bert Hartnell. The game on a graph $G$ can be described as follows: let $f_{n}$ be a sequence of pos…

math.GR2016★ 2 cited

Finiteness of Homological Filling Functions

Joshua W. Fleming, Eduardo Martínez-Pedroza

Let $G$ be a group. For any $Z G$ --module $M$ and any integer $d > 0$ , we define a function $F V_{M}^{d + 1} : N \to N \cup {\infty}$ generalizing the n…

math.GR2013★ 7 cited

Coherence and Negative Sectional Curvature in Complexes of Groups

Eduardo Martínez-Pedroza, Daniel T. Wise

We examine a condition on a simply connected 2-complex X ensuring that groups acting properly on X are coherent. This extends earlier work on 2-complexes with negative sectional cu…