London Algebra Colloquium abstract
Constructing non-hereditarily conjugacy separable groups
Ashot Minasyan (Southampton), 3rd February 2011
Abstract
A group G is called conjugacy separable if for any two non-conjugate
elements x, y in G, there is a homomorphism f from G to a finite group Q
such that f(x) is not conjugate to f(y) in Q.
G is said to be hereditarily conjugacy separable if every finite index
subgroup K of G is conjugacy separable.
During this talk we will discuss the main properties/applications of
(hereditarily) conjugacy separable groups. Afterwards we will present a
construction allowing to produce examples of
conjugacy separable groups which are not hereditarily conjugacy separable.