15:00 - 16:00
Zoom ID: 978 6853 5544
Lectures, talks and seminars
Mathematical Sciences, Department of
Jesus Martinez-Garcia email@example.com
These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.
Let G be a permutation group on Omega. We say that G has a regular orbit on Omega if there exists x in Omega that is fixed only by the identity permutation.
Regular orbits arise in a number of applications including the study of Frobenius groups and the proof of the celebrated k(GV)-theorem, which gives an upper bound on the number of conjugacy classes of certain affine groups where |G| and |V| are coprime.
One of the major cases in the proof of the k(GV)-theorem was a study of regular orbits of the so-called almost quasisimple groups G (i.e., G/F(G) is an almost simple group).
In this talk, after giving some background and motivation, Dr Lee will discuss progress in her quest to finish classifying all pairs (G,V) where G is an almost quasisimple group with a regular orbit on its irreducible module $V$. By the proof of the k(GV)-problem, this boils down to the cases where (|G|,|V|) >1. She will also briefly discuss techniques used for this classification, which involve some algebraic group theory, character theory and computational methods.
Dr Melissa Lee, University of Auckland
If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia.