论文标题
关于亲融合系统的共同体
On the cohomology of pro-fusion systems
论文作者
论文摘要
我们证明了Cartan-Eilenberg稳定元素定理，并为亲融合系统构建了Lyndon-Hochschild-Serre型光谱序列。作为一个应用程序，我们确定$ \ text {gl} _2（\ Mathbb {z} _p）$的连续mod- $ p $共同戒指，用于任何奇数$ $ p $。
We prove the Cartan-Eilenberg stable elements theorem and construct a Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an application, we determine the continuous mod-$p$ cohomology ring of $\text{GL}_2(\mathbb{Z}_p)$ for any odd prime $p$.
