Work

A Family of Arc-transitive Graphs of Girth at Least 5 Admitting a Suzuki Simple Group

Year: 2025

Type: article

Abstract: We give a construction of a new family of Deza graphs of girth at least 5 that possess an arc-transitive group of automorphisms isomorphic to a Suzuki simple group \(Sz(q)\). To study their combinatorical properties, we elaborate some group-theoretic arguments involving classical results on the groups of given type.

Source: Ural mathematical journal

DOI: 10.15826/umj.2025.2.008

Authors: Georgy A. Glinskikh, Ludmila Yu. Tsiovkina

Institutions: Ural Federal University, N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ural Branch of the Russian Academy of Sciences

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7117492273

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Cites: 6

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