On Morava K-theories of an S-arithmetic group, by Marian F. Anton

In this paper we completely describe the Morava K-theories with respect to the prime p for the etale model of the classifying space of the general linear group GL(m) over the ring Z[u,1/p] when p is an odd regular prime and u a primitive p-th root of unity. For p=3 and m=2 (and conjecturally in the stable range) these K-theories are the same as those of the classifying space itself.

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