7 citations · 22 across the 16 of their papers we have counts for
12 papers · 1 filter
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.
Centralisers and the virtually cyclic dimension of
Yassine Guerch, Sam Hughes, Luis Jorge Sánchez Saldaña
We prove that the virtually cyclic (geometric) dimension of the finite index congruence subgroup of is . From this we deduce the virtua…
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 let be the total space of the universal transitionally commutative principal -bundle as defined by Adem--Cohen--Torres-Giese. S…
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 be the mapping class group of a compact connected orientable surface , possibly with punctures and boundary components, with negative Euler characteristic.…
A survey on quasi-isometries of pairs: invariants and rigidity
Sam Hughes, Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña
This survey studies pairs with a finitely generated group and a (finite) collection of subgroups of . We explore the notion of quasi-isometry…
Bowditch Taut Spectrum and dimensions of groups
Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña
For a finitely generated group , let denote Bowditch's taut loop length spectrum. We prove that if is a $C'(…
Quasi-isometry invariance of relative filling functions
Sam Hughes, Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña
For a finitely generated group and collection of subgroups we prove that the relative Dehn function of a pair is invariant under quasi-isometry…
Quasi-isometric rigidity of subgroups and Filtered ends
Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña
Let and be quasi-isometric finitely generated groups and let ; is there a subgroup (or a collection of subgroups) of whose left cosets coarsely reflect the…
On the dimension of the mapping class groups of a non-orientable surface
Cristhian E. Hidber, Luis Jorge Sánchez Saldaña, Alejandra Trujillo-Negrete
Let 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…
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 and satisfy propertie…
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…
Brown's Criterion and classifying spaces for families
Eduardo Martínez-Pedroza, Luis Jorge Sánchez Saldaña
Let be a group and be a family of subgroups closed under conjugation and subgroups. A model for the classifying space is a -CW-complex …