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Title: The Morava E-theories of finite general linear groups
Author: Marsh, Samual John
ISNI:       0000 0004 2679 454X
Awarding Body: The University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2009
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available