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Constructing Ordinary Representations of Finite Groups via Extension

Presented by: 
Allan Steel
Date: 
Wednesday 29th January 2020 - 10:10 to 11:00
Venue: 
INI Seminar Room 1
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons