CI-property of Cp2 × Cn and Cp2 × Cq2 for digraphs

Kovács, István and Muzychuk, Mikhail and Pálfy, Péter Pál and Ryabov, Grigory and Somlai, Gábor (2023) CI-property of Cp2 × Cn and Cp2 × Cq2 for digraphs. JOURNAL OF COMBINATORIAL THEORY SERIES A, 196. ISSN 0097-3165

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Abstract

We prove that the direct product of two coprime order elementary abelian groups of rank two, as well as the direct product of a cyclic group of prime order and a cyclic group of square free order are DCI-groups. The latter is a generalization of Muzychuk’s result on cyclic groups.

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