SEMINAR: Groups and Combinatorics Seminar: Covering a group by conjugates of a coset

Time and place: 16:00 Friday 14 October in Weatherburn LT

Speaker: Barbara Baumeister (Bielefeld University)

Title: Covering a group by conjugates of a coset

Abstract: For every doubly transitive permutation group G the conjugates of a non-trivial coset of a point stabilizer H cover the group. This implies that every non-trivial conjugacy class of elements of G that contains an element of H does contain a transversal of H in G and that every other non-trivial conjugacy class contains a transversal for the set of cosets of H in G different from H. We study the finite groups satisfying this property; more precisely the class of primitive permutation groups, called CCI groups. In fact they properly contain the class of 2-transitive permutation groups.