8 citations · 21 across the 6 of their papers we have counts for
13 papers · 1 filter
2D problems in groups
Aditi Kar, Nikolay Nikolov
We investigate a conjecture about stabilisation of deficiency in finite index subgroups and relate it to the D2 Problem of C.T.C. Wall and the Relation Gap problem. We verify the p…
Uniform exponential growth for CAT(0) square complexes
Aditi Kar, Michah Sageev
In this paper we start the inquiry into proving uniform exponential growth in the context of groups acting on CAT(0) cube complexes. We address free group actions on CAT(0) square…
Ping pong on CAT(0) cube complexes
Aditi Kar, Michah Sageev
Let be a group acting properly and essentially on an irreducible, non-Euclidean finite dimensional CAT(0) cube complex without fixed points at infinity. We show that for an…
On growth of homology torsion in amenable groups
Aditi Kar, Peter Kropholler, Nikolay Nikolov
Suppose an amenable group is acting freely on a simply connected simplicial complex with compact quotient . Fix , assume a…
Rigidity of Almost-Isometric Universal Covers
Aditi Kar, Jean-Francois Lafont, Benjamin Schmidt
Almost-isometries are quasi-isometries with multiplicative constant one. Lifting a pair of metrics on a compact space gives quasi-isometric metrics on the universal cover. Under so…
A non-LEA Sofic Group
Aditi Kar, Nikolay Nikolov
We describe elementary examples of finitely presented sofic groups which are not residually amenable (and thus not initially subamenable or LEA, for short). We ask if an amalgam of…