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A geometric approach to Quillen's conjecture

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A geometric approach to Quillen's conjecture. / Diaz Ramos, Antonio; Mazza, Nadia.
In: Journal of Group Theory, Vol. 25, No. 1, 31.01.2022, p. 91-112.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Diaz Ramos, A & Mazza, N 2022, 'A geometric approach to Quillen's conjecture', Journal of Group Theory, vol. 25, no. 1, pp. 91-112. https://doi.org/10.1515/jgth-2021-0033

APA

Diaz Ramos, A., & Mazza, N. (2022). A geometric approach to Quillen's conjecture. Journal of Group Theory, 25(1), 91-112. https://doi.org/10.1515/jgth-2021-0033

Vancouver

Diaz Ramos A, Mazza N. A geometric approach to Quillen's conjecture. Journal of Group Theory. 2022 Jan 31;25(1):91-112. Epub 2021 Sept 16. doi: 10.1515/jgth-2021-0033

Author

Diaz Ramos, Antonio ; Mazza, Nadia. / A geometric approach to Quillen's conjecture. In: Journal of Group Theory. 2022 ; Vol. 25, No. 1. pp. 91-112.

Bibtex

@article{192f5b39f75643af885ad276a7244ca2,
title = "A geometric approach to Quillen's conjecture",
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.",
author = "{Diaz Ramos}, Antonio and Nadia Mazza",
year = "2022",
month = jan,
day = "31",
doi = "10.1515/jgth-2021-0033",
language = "English",
volume = "25",
pages = "91--112",
journal = "Journal of Group Theory",
issn = "1433-5883",
publisher = "Walter de Gruyter GmbH & Co. KG",
number = "1",

}

RIS

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 -