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Dade's Conjecture in the Finite Special Unitary Groups

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Title: Dade's Conjecture in the Finite Special Unitary Groups
Author(s): Bird, Katherine A.
Advisor(s): Srinivasan, Bhama
Contributor(s): Fong, Paul; Takloo-Bighash, Ramin; Shipley, Brooke; Doty, Stephen
Department / Program: Mathematics, Statistics, and Computer Science
Graduate Major: Mathematics
Degree Granting Institution: University of Illinois at Chicago
Degree: PhD, Doctor of Philosophy
Genre: Doctoral
Subject(s): modular representations blocks finite special unitary group
Abstract: 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.
Issue Date: 2012-12-10
Genre: thesis
Rights Information: Copyright 2012 Katherine A. Bird
Date Available in INDIGO: 2012-12-10
Date Deposited: 2012-05

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