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Abstract: By studying the representation theory of a certain infinite $p$-group andusing the generalised characters of Hopkins, Kuhn and Ravenel we find usefulways of understanding the rational Morava $E$-theory of the classifying spacesof general linear groups over finite fields. Making use of the well understoodtheory of formal group laws we establish more subtle results integrally,building on relevant work of Tanabe. In particular, we study in detail thecases where the group has dimension less than or equal to the prime $p$ atwhich the $E$-theory is localised.



Autor: Sam Marsh

Fuente: https://arxiv.org/







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