39 citations · 57 across the 8 of their papers we have counts for
6 papers · 1 filter
Lacunary hyperbolic groups with fast injectivity radius growth and enough loxodromic elements are selfless
Goulnara Arzhantseva, Martin Finn-Sell
We prove that a lacunary hyperbolic group with sufficient generics is selfless in the sense of Amrutam--Gao--Kunnawalkam Elayavalli--Patchell, provided the hyp…
Controlled Analytic Properties and the Quantitative Baum-Connes Conjecture
Martin Finn-Sell
We show that the classical Baum-Connes assembly map is quantitatively an isomorphism for a class of lacunary hyperbolic groups, and we explain how to see that this class contains m…
Unrestricted wreath products and sofic groups
Goulnara Arzhantseva, Federico Berlai, Martin Finn-Sell +1
We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group ext…
Sofic boundaries of groups and coarse geometry of sofic approximations
Vadim Alekseev, Martin Finn-Sell
Sofic groups generalise both residually finite and amenable groups, and the concept is central to many important results and conjectures in measured group theory. We introduce a to…
Almost quasi-isometries and more non-exact groups
Martin Finn-Sell
We study permanence results for almost quasi-isometries, the maps arising from the Gromov construction of finitely generated random groups that contain expanders (and hence that ar…
Subsemigroup, ideal and congruence growth of free semigroups
Alex Bailey, Martin Finn-Sell, Robert Snocken
Using Rees index, the subsemigroup growth of free semigroups is investigated. Lower and upper bounds for the sequence are given and it is shown to have superexponential growth of s…