Dagger, Stuart Westray (1968) On the representation theory of the Chevalley groups. PhD thesis, University of Warwick.

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Abstract

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.

Item Type:	Thesis (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Chevalley groups, Representations of groups
Official Date:	December 1968
Dates:	Date Event December 1968 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	Green, J. A.
Sponsors:	Science Research Council (Great Britain)
Extent:	88 leaves.
Language:	eng

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