SEMINAR: Groups and Combinatorics Seminar: Saul Freedman, 4pm Oct 19 in Weatherburn LT
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Groups and Combinatorics Seminar: Saul Freedman, 4pm Oct 19 in Weatherburn LT |
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Speaker: Saul Freedman (University of Western Australia)
Title: p-groups related to exceptional Chevalley groups
Time and place: 4pm Friday 19 Oct 2018, Weatherburn LT
Abstract: In 1978, Bryant and Kovács proved that if H is a subgroup of the
general linear group GL(d,p), with d > 1 and p prime, then there
exists a p-group P such that Aut(P) induces H on the Frattini quotient
of P. However, it is not known in general when we can choose P to be
small, in terms of its exponent-p class, exponent, nilpotency class
and order. In this talk, we consider the representation theory of the
(finite) simply connected versions of the exceptional Chevalley
groups, and their overgroups in corresponding general linear groups,
in order to construct small related p-groups. This follows on from the
recent work of Bamberg, Glasby, Morgan and Niemeyer, who constructed
small p-groups related to maximal subgroups of GL(d,p).
Contact |
Stephen Glasby
<[email protected]>
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Start |
Fri, 19 Oct 2018 16:00
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End |
Fri, 19 Oct 2018 17:00
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Submitted by |
Stephen Glasby <[email protected]>
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Last Updated |
Wed, 17 Oct 2018 08:07
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