## Group theoretic applications of the large sieve method

Chen Meiri

Technion

March 28, 2016

In this talked we will explain how the classical large sieve method from number

theory can be applied to study properties of subsets of groups which have property-τ . As an

application we will show that the set of powers in finitely-generated non-(virtually-slovable)

linear groups is very small.

theory can be applied to study properties of subsets of groups which have property-τ . As an

application we will show that the set of powers in finitely-generated non-(virtually-slovable)

linear groups is very small.