$p$ -幂零群块间等价的Galois下降
Galois descent of equivalences between blocks of $p$-nilpotent groups
摘要：
本文给出了$\mathbb{F}_p$上$p$ -幂零群的$p$ -块与其Brauer对应群的Rickard等价和$p$ -置换等价的充分条件.本文还包含伽罗瓦下降结果$p$ -置换模和$p$ -置换等价，适用于任何群体。
英文摘要：
We give sufficient conditions on $p$-blocks of $p$-nilpotent groups over $\mathbb{F}_p$ to be splendidly Rickard equivalent and $p$-permutation equivalent to their Brauer correspondents. The paper also contains Galois descent results on $p$-permutation modules and $p$-permutation equivalences that hold for arbitrary groups.
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。
