论文标题
Quillen猜想的几何方法
A geometric approach to Quillen's conjecture
论文作者
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.
