Abstract
In 1978, Bryant and Kovacs proved that if His 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. 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.
Original language | English |
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Qualification | Masters |
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Award date | 8 Oct 2018 |
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Publication status | Unpublished - 2018 |