4 citations · 8 across the 4 of their papers we have counts for
4 papers · 1 filter
Some Remarks on the Braided Thompson Group BV
Kai-Uwe Bux, Dmitriy Sonkin
Matthew Brin and Patrick Dehornoy independently discovered a braided version BV of Thompson's group V. In this paper, we discuss some properties of BV that might make the group int…
Periodic quotients of hyperbolic and large groups
A. Minasyan, A. Yu. Olshanskii, D. Sonkin
Let be either a non-elementary (word) hyperbolic group or a large group (both in the sense of Gromov). In this paper we describe several approaches for constructing continuous…
Uniform Kazhdan groups
D. Osin, D. Sonkin
We construct first examples of infinite groups having property (T) whose Kazhdan constants admit a lower bound independent of the choice of a finite generating set.
Compression of uniform embeddings into Hilbert space
N. Brodskiy, D. Sonkin
If one tries to embed a metric space uniformly in Hilbert space, how close to quasi-isometric could the embedding be? We answer this question for finite dimensional CAT(0) cube com…