SEMINAR:
  Groups and Combinatorics Seminar:On probabilistic generation of classical groups  
		
Fri, 18 Nov 2011 13:00 - Maths Lecture room 2
		
Sukru Yalcinkaya
Groups and Combinatorics Seminar

 Sukru Yalcinkaya (UWA)

will speak

On probabilistic generation of classical groups

at 1pm Friday 18th 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 ppd(q,n) denote a
prime number which divides q^n-1 but not q^i-1 for i<n.  Generically,
such primes exist by Zsigmondy's result. We consider the elements of
order ppd(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 and present an application in the
computational group theory. This is a joint work with Cheryl Praeger and
Akos Seress.
		
For more information:
  Michael Giudici
  giudici@maths.uwa.edu.au

Starts       : Fri, 18 Nov 2011 13:00
Ends         : Fri, 18 Nov 2011 13:45
		
Last Updated : Tue, 15 Nov 2011 09:50