Coxeter数不超过p的有限群上的非零上同调类
Nonvanishing cohomology classes on finite groups of Lie type with Coxeter number at most p
摘要：
本文证明了$\mathbb{F}_{p^r}$上系数为特征$p$的李型有限群的度$r(2p-3)$上同调非零，只要其Coxeter数至多为$p$ .我们通过提供一个非零元素的简单显式构造来实现这一点。
英文摘要：
We prove that the degree $r(2p-3)$ cohomology of any finite group of Lie type over $\mathbb{F}_{p^r}$, with coefficients in characteristic $p$, is nonzero as long as its Coxeter number is at most $p$. We do this by providing a simple explicit construction of a nonzero element.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
