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Constructing Ordinary Representations of Finite Groups via Extension

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GRAW02 - Computational and algorithmic methods

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Seminar Room West, Room A0.015, Ray Dolby Centre, Cavendish Laboratory SG1 & SG2, Alison Richard Building, 7 West Rd, Cambridge CB3 9DT Room 2S8 Donald McIntyre Building, Faculty of Education (Room 1S7), 184 Hills Road, Cambridge CB2 8PQ

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