SEMINAR: Groups and Combinatorics Seminar: Generation of classical groups by good elements

Groups and Combinatorics Seminar

Sukru Yalcinkaya (UWA)

will speak on

Generation of classical groups by good elements

at 1pm on Tuesday 16th of November in MLR2

Abstract: Let G be a classical group and V be the underlying vector space of dimension 2n over a field of size q. Let hi(n,q) be the product of all primitive prime divisors of q^n-1. We consider the elements of order hi(n,q) which act irreducibly on a unique n-dimensional subspace and fix pointwise an n-dimensional subspace of V. We call these elements good elements. I will discuss the probabilistic generation of G by two random conjugate good elements. This is a joint work with Cheryl Praeger and Akos Seress.