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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 Other events...
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]>
Start Fri, 19 Oct 2018 16:00
End Fri, 19 Oct 2018 17:00
Submitted by Stephen Glasby <[email protected]>
Last Updated Wed, 17 Oct 2018 08:07
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