By studying the representation theory of a certain infinite p-group and using the generalised characters of Hopkins, Kuhn and Ravenei we find useful ways of understanding the rational Morava E-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 p at which the E-theory is localised.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:505785 |
| Date | January 2009 |
| Creators | Marsh, Samual John |
| Publisher | University of Sheffield |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
Page generated in 0.0022 seconds