Computational Algebra Seminar: Steel -- Constructing Ordinary Representations of Finite Groups via Extension

Speaker: Allan Steel (Magma, Sydney)
Title: Constructing Ordinary Representations of Finite Groups via Extension
Time & Place: 15:05 - 16:00, Thursday 3 October 2024, SMRI Seminar Room.

Abstract:
I will describe practical methods for the construction of ordinary
representations of a finite group G via the extension of existing
representations defined on a proper subgroup of G. I will also
describe how, using an implementation of this algorithm within Magma,
I was able to construct for the first time minimal-degree faithful
ordinary representations of most of the large sporadic simple groups,
such as the Baby Monster.