Computing Representations of Higher Degrees of Finite Groups

Vahid Dabbaghian-Abdoly, Department of Computer Science, University of Calgary

January 14th, 2005 at 3:30pm in K9509.

Abstract: 
There is an algorithm for constructing representations of
finite groups affording characters of degrees less than 32.
This restriction only appears at the level where recursion 
has to deal with a perfect group.  In this talk I describe
this restriction and I will discuss on the extending the 
algorithm to higher degrees (for example, degrees less than 100).
This will require dealing with perfect groups of two main types.
The first is the case when G is a simple group or a covering 
group of a simple group and the second one is when G is a 
perfect group such that the socle of G/Z(G) is abelian.