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On the representation theory of the Chevalley groups

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

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Official URL: http://webcat.warwick.ac.uk/record=b1722650~S1

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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:
DateEvent
December 1968Submitted
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Publication Status: Unpublished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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