On simple groups that admit a string C-group representation

We prove that a simple group admits at least one string C-group representation if and only if it is not one of PSL(3, q), PSU(3, q), PSL(4, 2n), PSU(4, 2n), PSU(4, 3), PSU(5, 2), A₆, A₇, M₁₁, M₂₂, M₂₃ or McL.

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Publication Details

Journal
The Art of Discrete and Applied Mathematics
Published
2025-08-26
DOI
https://doi.org/10.26493/2590-9770.1329.6f5
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

On simple groups that admit a string C-group representation

Adrien Vandenschrick, Dimitri Leemans
The Art of Discrete and Applied Mathematics
Geometric and Algebraic Topology
article

On simple groups that admit a string C-group representation

Adrien Vandenschrick, Dimitri Leemans
article en

Abstract

We prove that a simple group admits at least one string C-group representation if and only if it is not one of PSL(3, q), PSU(3, q), PSL(4, 2n), PSU(4, 2n), PSU(4, 3), PSU(5, 2), A₆, A₇, M₁₁, M₂₂, M₂₃ or McL.

The Art of Discrete and Applied MathematicsVol. 9(1)
Université Libre de Bruxelles (BE)
Fonds De La Recherche Scientifique - FNRS
Openalex Percentile: Top 72%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
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On simple groups that admit a string C-group representation — Adrien Vandenschrick, Dimitri Leemans · The Art of Discrete and Applied Mathematics (2025) | TGRS Research Map | TGRS