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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A geometric approach to Quillen's conjecture
AU - Diaz Ramos, Antonio
AU - Mazza, Nadia
PY - 2022/1/31
Y1 - 2022/1/31
N2 - 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.
AB - 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.
U2 - 10.1515/jgth-2021-0033
DO - 10.1515/jgth-2021-0033
M3 - Journal article
VL - 25
SP - 91
EP - 112
JO - Journal of Group Theory
JF - Journal of Group Theory
SN - 1433-5883
IS - 1
ER -