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3 votes
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Galois descent for K-groups (or for étale cohomology groups)

Sorry to answer my own question, but according to these notes by Manfred Kolster, Proposition 2.9, the étale cohomology groups in fact always satisfy Galois descent. Should have googled harder before …
Alex B.'s user avatar
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8 votes
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Galois descent for K-groups (or for étale cohomology groups)

Let $F/K$ be a Galois extension of number fields with Galois group $G$. Let $\mathcal{O}_F$ and $\mathcal{O}_K$ be the associated rings of integers, and let $n\geq 1$. When is $$ K_{2n-1}(\mathc …
15 votes
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Z/48 and Moonshine Beyond the Monster

I am not sure if this helps you since it doesn't contain any speculations on connections with finite simple groups, but the torsion in $K_{2n+1}(\mathcal{O}_F)$ is now fairly well understood for arbit …
Alex B.'s user avatar
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