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arXiv · 2610.36165

A new infinite family of covers of complete graphs that admit a half-transitive action of a Suzuki simple group

Ludmila Yu. Tsiovkina
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Abstract

We construct a new infinite family of antipodal $2(q-1)$-covers of complete graphs $K_{q^2+1}$ of diameter $3$, where $q=2^{2e+1}\ge 8$, admitting a half-transitive action of the Suzuki simple group $Sz(q)$. We further show that each constructed cover admits an involutory automorphism interchanging the two $Sz(q)$-orbits on arcs, which yields that its full automorphism group is arc-transitive.

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Ludmila Yu. Tsiovkina. 2026-10-26. A new infinite family of covers of complete graphs that admit a half-transitive action of a Suzuki simple group. https://arxiv.org/abs/2610.36165

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