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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
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) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Chevalley groups, Representations of groups | ||||
Official Date: | December 1968 | ||||
Dates: |
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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Publication Status: | Unpublished | ||||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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