p-groups related to exceptional groups of Lie type

Saul Daniel Freedman

Research output: ThesisMaster's Thesis

84 Downloads (Pure)


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 languageEnglish
Awarding Institution
  • The University of Western Australia
  • Bamberg, John, Supervisor
  • Morgan, Luke, Supervisor
Thesis sponsors
Award date8 Oct 2018
Publication statusUnpublished - 2018


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