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math.GR2022
Topological groups with a compact open subgroup, Relative hyperbolicity and Coherence
Shivam Arora, Eduardo Martínez-Pedroza
The main objects of study in this article are pairs where is a topological group with a compact open subgroup, and is a finite collection of op…
math.GR2022★ 2 cited
Hyperbolically embedded subgroups and quasi-isometries of pairs
Sam Hughes, Eduardo Martínez-Pedroza
We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability…
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 with a finitely generated group and a (finite) collection of subgroups of . We explore the notion of quasi-isometry…