The Morava E-theories of finite general linear groups
Algebraic Topology
2010-01-13 v1
Abstract
By studying the representation theory of a certain infinite -group and using the generalised characters of Hopkins, Kuhn and Ravenel we find useful ways of understanding the rational Morava -theory of the classifying spaces of general linear groups over finite fields. Making use of the well understood theory of formal group laws we establish more subtle results integrally, building on relevant work of Tanabe. In particular, we study in detail the cases where the group has dimension less than or equal to the prime at which the -theory is localised.
Keywords
Cite
@article{arxiv.1001.1949,
title = {The Morava E-theories of finite general linear groups},
author = {Sam Marsh},
journal= {arXiv preprint arXiv:1001.1949},
year = {2010}
}
Comments
PhD Thesis, University of Sheffield, 2009, Supervisor: Neil Strickland (95 pages)