# A geometric approach to Quillen's conjecture

Diaz Ramos, Antonio and Mazza, Nadia (2021) A geometric approach to Quillen's conjecture. Journal of Group Theory. ISSN 1433-5883

Text (dm_rev9)
dm_rev9.pdf - Accepted Version

## 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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Group Theory
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
Departments:
ID Code:
158837
Deposited By:
Deposited On:
27 Aug 2021 08:40
Refereed?:
Yes
Published?:
Published