Luis Jorge S'anchez Saldana

activity

20152026

most citedVirtually cyclic dimension for 3-manifold groups

7 citations · 22 across the 16 of their papers we have counts for

collaborators

18 papers

math.AT2026

Centralizers and classifying spaces for commutativity of $S L_{2} (Z [1/ p])$

Omar Antol\'ın-Camarena, Ramón Flores, Luis Jorge Sánchez Saldaña

We compute the homotopy type of the classifying space for commutativity introduced by Adem, F. Cohen and Torres-Giese for the group $\SL_2(\Z[1/p])$, both as a discrete topological…

math.GR2026

Finiteness properties and quasi-isometry of group pairs

Kevin Li, Luis Jorge Sánchez Saldaña

We show that the geometric and homological finiteness properties of group pairs are invariant under a suitable notion of quasi-isometry for group pairs.

math.GR2023

Centralisers and the virtually cyclic dimension of $Out (F_{N})$

Yassine Guerch, Sam Hughes, Luis Jorge Sánchez Saldaña

We prove that the virtually cyclic (geometric) dimension of the finite index congruence subgroup $IA_{N} (3)$ of $Out (F_{N})$ is $2 N - 2$ . From this we deduce the virtua…

math.GR2023

The classifying space for commutativity of geometric orientable 3-manifold groups

Omar Antolín-Camarena, Luis Eduardo García-Hernández, Luis Jorge Sánchez Saldaña

For a topological group $G$ let $E_{com} (G)$ be the total space of the universal transitionally commutative principal $G$ -bundle as defined by Adem--Cohen--Torres-Giese. S…

math.GR2023

Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups

Rita Jiménez Rolland, Porfirio L. León Álvarez, Luis Jorge Sánchez Saldaña

Let $Mod (S)$ be the mapping class group of a compact connected orientable surface $S$ , possibly with punctures and boundary components, with negative Euler characteristic.…

math.GR2021★ 2 cited

A survey on quasi-isometries of pairs: invariants and rigidity

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

This survey studies pairs $(G, P)$ with $G$ a finitely generated group and $P$ a (finite) collection of subgroups of $G$ . We explore the notion of quasi-isometry…

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.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.KT2020

On the algebraic K-theory of 3-manifold groups

Daniel Juan-Pineda, Luis Jorge Sánchez Saldaña

We provide descriptions of the Whitehead groups, and the algebraic $K$ -theory groups, of the fundamental group of a connected, oriented, closed $3$ -manifold in terms of Whitehead g…

math.GR2020

On the dimension of the mapping class groups of a non-orientable surface

Cristhian E. Hidber, Luis Jorge Sánchez Saldaña, Alejandra Trujillo-Negrete

Let $N_{g}$ be the mapping class group of a non-orientable closed surface. We prove that the proper cohomological dimension, the proper geometric dimension, and the virtual…

math.GR2020★ 1 cited

On the dimension of groups that satisfy certain conditions on their finite subgroups

Luis Jorge Sánchez Saldaña

We prove that the Bredon cohomological dimension and the virtual cohomological dimension coincide for groups that admit a cocompact model for $E G$ and satisfy propertie…

math.GR2019

Groups acting on trees and the Eilenberg-Ganea problem for families

Luis Jorge Sánchez Saldaña

We construct new examples of groups with cohomological dimension 2 and geometric dimension 3 with respect to the families of finite subgroups, virtually abelian groups of bounded r…

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.GT2019★ 7 cited

Virtually cyclic dimension for 3-manifold groups

Kyle Joecken, Jean-François Lafont, Luis Jorge Sánchez Saldaña

Let G be the fundamental group of a connected, closed, orientable 3-manifold. We explicitly compute its virtually cyclic geometric dimension. Among the tools we use are the prime a…

math.KT2017

The algebraic and topological K-theory of the Hilbert Modular Group

Luis Jorge Sánchez Saldaña, Mario Velásquez

In this paper we provide descriptions of the Whitehead groups with coefficients in a ring of the Hilbert modular group and its reduced version, as well as for the topological K-the…

math.KT2015

The $K$ and $L$ theoretic Farrell-Jones isomorphism conjecture for braid groups

Daniel Juan-Pineda, Luis Jorge Sánchez Saldaña

We prove the $K$ and $L$ theoretic versions of the Fibered Isomorphism Conjecture of F. T. Farrell and L. E. Jones for braid groups on a surface.

math.KT2015★ 4 cited

On the algebraic $K$ -theory of the Hilbert modular group

Mauricio Bustamante, Luis Jorge Sánchez Saldaña

We give formulas for the Whitehead groups and the rational $K$ -theory groups of the (integer group ring of the) Hilbert modular group in terms of its maximal finite subgroups.

Centralizers and classifying spaces for commutativity of SL2​(Z[1/p])

Finiteness properties and quasi-isometry of group pairs

Centralisers and the virtually cyclic dimension of Out(FN​)

The classifying space for commutativity of geometric orientable 3-manifold groups

Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups

A survey on quasi-isometries of pairs: invariants and rigidity

Bowditch Taut Spectrum and dimensions of groups

Quasi-isometry invariance of relative filling functions

Quasi-isometric rigidity of subgroups and Filtered ends

On the algebraic K-theory of 3-manifold groups

On the dimension of the mapping class groups of a non-orientable surface

On the dimension of groups that satisfy certain conditions on their finite subgroups

Groups acting on trees and the Eilenberg-Ganea problem for families

Brown's Criterion and classifying spaces for families

Virtually cyclic dimension for 3-manifold groups

The algebraic and topological K-theory of the Hilbert Modular Group

The K and L theoretic Farrell-Jones isomorphism conjecture for braid groups

On the algebraic K-theory of the Hilbert modular group

Centralizers and classifying spaces for commutativity of $S L_{2} (Z [1/ p])$

Centralisers and the virtually cyclic dimension of $Out (F_{N})$

The $K$ and $L$ theoretic Farrell-Jones isomorphism conjecture for braid groups

On the algebraic $K$ -theory of the Hilbert modular group