CI-property of $C_p^2 \times C_n$ and $C_p^2 \times C_q^2$ for digraphs

CI-property of $C_p^2 \times C_n$ and $C_p^2 \times C_q^2$ for digraphs

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 (J. Combin. Th...

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Hauptverfasser: Kovács, István, Muzychuk, Mikhail, Pálfy, Péter P, Ryabov, Grigory, Somlai, Gábor
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Mathematics - Group Theory
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Zusammenfassung: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 (J. Combin. Theory Ser. A, 1995).
DOI:10.48550/arxiv.2201.02725