String C-group representations of transitive Groups: a case study with degree \(11\)

In this paper we give a non-computer-assisted proof of the following result: if \(G\) is an even transitive group of degree \(11\) and has a string C-group representation with rank \(r\in\{4,5\}\) then \(G\cong\PSL_2(11)\). Moreover this string C-group is the group of automorphisms of the rank \(4\)...

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Veröffentlicht in:	arXiv.org 2023-11
Hauptverfasser:	Fernandes, Maria Elisa, Piedade, Claudio Alexandre, Reade, Olivia
Format:	Artikel
Sprache:	eng
Schlagworte:	Automorphisms Polytopes
Online-Zugang:	Volltext
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