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Dade's Conjecture in the Finite Special Unitary Groups
thesis
posted on 2012-12-10, 00:00 authored by Katherine A. BirdThe theory of p-modular representations of a finite group G for a fixed prime number p was developed by Richard Brauer. One of the main problems in this theory is to classify the p-blocks which form a partition of the set of characters of G. Dade conjectured a formula for the number of characters in a block in terms of characters in blocks in certain subgroups called p-local subgroups of G. This conjecture has been verified for groups such as the finite general linear, special linear, and unitary groups over a field of characteristic p. In this thesis we verify the conjecture for the finite special unitary groups over a field of characteristic p.
History
Advisor
Srinivasan, BhamaDepartment
Mathematics, Statistics, and Computer ScienceDegree Grantor
University of Illinois at ChicagoDegree Level
- Doctoral
Committee Member
Fong, Paul Takloo-Bighash, Ramin Shipley, Brooke Doty, StephenSubmitted date
2012-05Language
- en
Issue date
2012-12-10Usage metrics
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