2026-09-22T14:33:58Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/86998 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

110 p. U of I Only Dade, Everett C. Schwartz, Gary Keith 2015-09-28T15:20:33Z 2015-09-28T15:20:33Z 10000-01-01 2000 2000 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. Made available in DSpace on 2015-09-28T15:20:33Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9971186.pdf: 3918015 bytes, checksum: dca07fe54a511455ecaf1857de1c70c6 (MD5) Previous issue date: 2000 Embargo set by: Seth Robbins for item 88279 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2000. http://hdl.handle.net/2142/86998 (MiAaPQ)AAI9971186 eng Mathematics A Reduction for Dade's Conjecture text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.