String C-group representations of transitive groups: a case study with degree 11

• Type: Article in International Scientific Journal
• Date: 2024

Authors

Fernandes, ME (Author) Other; Piedade, CA (Author) FCUP; Reade, O (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Art of Discrete and Applied Mathematics

Vol. 7

ISSN: 2590-9770

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00Z-K33

DOI: 10.26493/2590-9770.1627.77a

Abstract (EN): 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 ¿ {4, 5} then G ~= PSL2(11). Moreover this string C-group is the group of automorphisms of the rank 4 polytope known as the 11-cell. The insights gained from this case study include techniques and observations concerning permutation representation graphs of string C-groups. The foundational lemmas yield a natural and intuitive understanding of these groups. These and similar approaches can be replicated and are applicable to the study of other transitive groups. © 2024 University of Primorska. All rights reserved.

Language: English

Type (Professor's evaluation): Scientific