3 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
Fixed Point Sets in Diagrammatically Reducible Complexes
Shivam Arora, Eduardo Martínez-Pedroza
Let be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex with fine 1-skeleton. If the fixed point set is non-empty, then it is…
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…
Subgroups of word hyperbolic groups in rational dimension 2
Shivam Arora, Eduardo Martínez-Pedroza
A result of Gersten states that if is a hyperbolic group with integral cohomological dimension then every finitely presented subgroup is hyperbo…
z-Classes in finite groups of conjugate type (n,1)
Shivam Arora, Krishnendu Gongopadhyay
Two elements in a group are said to -equivalent or to be in the same -class if their centralizers are conjugate in . In \cite{kkj}, it was proved that a non-abelian $p…