Uniform Kazhdan Groups
by
Dmitriy Sonkin
University of Virginia
Coauthors: Denis Osin

For a discrete group G and a finite subset X of G, let K(G, X) be the Kazhdan constant of G with respect to X. We define the uniform Kazhdan constant of G by

K(G) = min { K(G,X) | X is finite and generates G }.

We provide an example of an infinite group with non - zero uniform Kazhdan constant.

Date received: February 12, 2006