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Title: On the representation theory of the Chevalley groups
Author: Dagger, Stuart Westray
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 1968
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In this thesis we investigate the representation theory of the following classes of groups:- GL(m,q), SL(m,q), Sp(2m,q), [omega] (m,q) and their quotients by their centres. In the first part we prove the following theorem:- THEOREM If G is a group of one of the above types, the only possible defect groups of G are the Sylow p-subgroup and the trivial subgroup. We then use this to obtain a complete determination of the p-block structure in each case. In the second part we construct and investigate the properties of a family of irreducible characters for the above groups.
Supervisor: Not available Sponsor: Science Research Council (Great Britain)
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics