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20192026
most citedConsequences of the random matrix solution to the Peterson-Thom conjecture

3 citations · 5 across the 37 of their papers we have counts for

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math.GR2026

On free components of Artin and Coxeter groups

Guillaume Dumas, Jingyin Huang, Srivatsav Kunnawalkam Elayavalli +1

The number of connected components can be remembered by the von Neumann algebra among Artin groups, the only possible exception being the case that corresponds to the free group fa…

math.GR2026

A new source of purely finite matricial fields

David Gao, Srivatsav Kunnawalkam Elayavalli, Aareyan Manzoor +1

A countable group is said to be \emph{matricial field} (MF) if it admits a strongly converging sequence of approximate homomorphisms into matrices; i.e, the norms of polynomial…

math.GR2025

Some remarks on decay in countable groups and amalgamated free products

Srivatsav Kunnawalkam Elayavalli, Gregory Patchell, Lizzy Teryoshin

In this note, we first study the notion of subexponential decay (SD) for countable groups with respect to a length function, which generalizes the well-known rapid decay (RD) prope…

math.GR2024

Sofic actions on graphs

David Gao, Greg Patchell, Srivatsav Kunnawalkam Elayavalli

We develop a theory of soficity for actions on graphs and obtain new applications to the study of sofic groups. We establish various examples, stability and permanence properties o…

math.GR2024

On soficity for certain fundamental groups of graphs of groups

David Gao, Srivatsav Kunnawalkam Elayavalli, Mahan Mj

In this note we study a family of graphs of groups over arbitrary base graphs where all vertex groups are isomorphic to a fixed countable sofic group , and all edge groups …

math.GR2023

Hyperfiniteness for group actions on trees

Srivatsav Kunnawalkam Elayavalli, Koichi Oyakawa, Forte Shinko +1

We identify natural conditions for a countable group acting on a countable tree which imply that the orbit equivalence relation of the induced action on the Gromov boundary is Bore…

math.GR2020

Generic algebraic properties in spaces of enumerated groups

Isaac Goldbring, Srivatsav Kunnawalkam Elayavalli, Yash Lodha

We introduce and study Polish topologies on various spaces of countable enumerated groups, where an enumerated group is simply a group whose underlying set is the set of natural nu…