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arXiv 2003.016262020-03math.ATmath.GR

On the cohomology of pro-fusion systems

Antonio Díaz Ramos, Oihana Garaialde Ocaña, Nadia Mazza, Sejong Park

备注：: 19 pages, 4 figures

英文摘要：

We prove the Cartan-Eilenberg stable elements theorem and construct a Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an application, we determine the continuous mod-$p$ cohomology ring of $\text{GL}_2(\mathbb{Z}_p)$ for any odd prime $p$.

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