MITACS Seminar Series on Mathematics of Computer Algebra and Analysis
Computing characters of a group using characters of factor Groups: preliminary results.
Vahid Daddabghian, CECM, SFU
Abstract: In this talk, we report some preliminary results on computing characters of a finite group G using characters of a factor group G/S where S is a solvable subgroup. In particular we talk about the possibility of computing characters of the group GL(n,Z/p^mZ) using characters of the general linear group GL(n,p). As a main result we show how the problem can be reduced to the case that S is a central subgroup of order p.