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arXiv · 2005.02658

A geometric approach to Quillen's conjecture

Antonio Díaz Ramos·Nadia Mazza
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Abstract

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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Antonio Díaz Ramos, Nadia Mazza. 2020-05-06. A geometric approach to Quillen's conjecture. https://arxiv.org/abs/2005.02658

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