Abstract
We completely describe the Morava K-theories with respect to the prime p for the étale model of the classifying space of \( G{L_m}\left( {\mathbb{Z}\left[ {\sqrt[p]{1},1/p} \right]} \right)\) when p is an odd regular prime.For p = 3 and m = 2 (and conjecturally for m = ∞) these cohomologies are the same as those of the classifying space itself.
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Anton, M.F. (2003). On Morava K-theories of an S-arithmetic Group. In: Arone, G., Hubbuck, J., Levi, R., Weiss, M. (eds) Categorical Decomposition Techniques in Algebraic Topology. Progress in Mathematics, vol 215. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7863-0_2
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DOI: https://doi.org/10.1007/978-3-0348-7863-0_2
Publisher Name: Birkhäuser, Basel
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