9 citations · 53 across the 22 of their papers we have counts for
4 papers · 2 filters
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…
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…
Lattices in a product of trees, hierarchically hyperbolic groups, and virtual torsion-freeness
Sam Hughes
We construct cocompact lattices in a product of trees which are not virtually torsion-free. This gives the first examples of hierarchically hyperbolic groups which are not virtuall…
Graphs and complexes of lattices
Sam Hughes
We study lattices acting on spaces via their commensurated subgroups. To do this we introduce the notions of a graph of lattices and a complex of lattices giving…