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Title:A Reduction for Dade's Conjecture
Author(s):Schwartz, Gary Keith
Doctoral Committee Chair(s):Dade, Everett C.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:Although the 'Inductive' form of Dade's conjecture must be verified for all finite, non-abelian, simple groups G, for most such G it suffices to verify a simpler form of the conjecture. In this thesis we will introduce two new forms of Dade's Conjecture, the Augmented Extended Projective Conjecture and the Augmented Inductive Conjecture, and prove that the Augmented Extended Projective Conjecture implies the Augmented Inductive Conjecture for all finite non-abelian simple groups except possibly for the Chevalley groups of types Aℓ, Dℓ, 2Aℓ, and 2Dℓ.
Issue Date:2000
Type:Text
Language:English
Description:110 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000.
URI:http://hdl.handle.net/2142/86998
Other Identifier(s):(MiAaPQ)AAI9971186
Date Available in IDEALS:2015-09-28
Date Deposited:2000


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