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Dade's Conjecture in the Finite Special Unitary Groups

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posted on 10.12.2012, 00:00 by Katherine A. Bird
The 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, Bhama

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Fong, Paul Takloo-Bighash, Ramin Shipley, Brooke Doty, Stephen

Submitted date

2012-05

Language

en

Issue date

10/12/2012

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