论文标题

Quillen猜想的几何方法

A geometric approach to Quillen's conjecture

论文作者

Ramos, Antonio Díaz, Mazza, Nadia

论文摘要

我们为有限的组$ g $介绍了{\ em可接受的集合},并用它们证明,非定义特征的大多数有限古典组都满足{\ em quillen dimension in $ p $ property},这是Quillen的强大版本,是Quillen的强烈猜想,以给定的奇数Prime Divisor $ P $ $ P $ $ P $ $ | G |与\ cite {as1993}中的方法相比,我们的技术更简单。

We introduce {\em admissible collections} for a finite group $G$ and use them to prove that most of the finite classical groups in non-defining characteristic satisfy the {\em Quillen dimension at $p$ property}, a strong version of Quillen's conjecture, at a given odd prime divisor $p$ of $|G|$. Compared to the methods in \cite{AS1993}, our techniques are simpler.

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