Papers › A geometric approach to Quillen's conjecture

A geometric approach to Quillen's conjecture

6 May 2020arXiv:2005.02658links table onlyarchive 2025-07-28

Antonio Díaz Ramos, Nadia Mazza

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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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