On the Cohomology of Pro-Fusion Systems

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

Journal of Algebra and Its Applications（2020）

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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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关键词

Profinite groups, pro-fusion systems, cohomology, p-adic analytic groups

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