2026-09-21T12:55:14Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/26269 2023-07-10 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Rezk, Charles Ando, Matthew Rezk, Charles McCarthy, Randy Schenck, Henry K. Stapleton, Nathaniel J. 2011-08-25T22:21:33Z 2011-08-25T22:21:33Z 2011-08-25T22:21:33Z 2011-08 "In ""Generalized Group Characters and Complex Oriented Cohomology Theories"", Hopkins, Kuhn, and Ravenel discovered a generalized character theory that proved useful in studying cohomology rings of the form E^*(BG). In this paper we use the geometry of p-divisible groups to describe a sequence of ""intermediate"" character theories that retain more information about the cohomology theory E and yield the related result of Hopkins, Kuhn, and Ravenel as a special case." Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-07-09T18:22:05Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Stapleton_Nathaniel.pdf: 269900 bytes, checksum: 9775a59cb1df26befc0ae84015958864 (MD5) Made available in DSpace on 2011-08-25T22:21:33Z (GMT). No. of bitstreams: 2 Stapleton_Nathaniel.pdf: 269900 bytes, checksum: 9775a59cb1df26befc0ae84015958864 (MD5) license.txt: 4069 bytes, checksum: 1024de26f56b1c1d9b00177201c4f299 (MD5) http://hdl.handle.net/2142/26269 en Copyright 2011 Nathaniel Stapleton Algebraic Topology Stable Homotopy Theory Generalized Cohomology Theory p-Divisible Group Barsotti-Tate Group Morava E-theory Transchromatic generalized character maps Mathematics 1257 Mathematics 0439 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Mathematics -UIUC 10KS0439PHD