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

István Kovács; Mikhail Muzychuk; Péter P. Pálfy; Grigory Ryabov; Gábor Somlai

paper

CI-property of $C_{p}^{2} \times C_{n}$ and $C_{p}^{2} \times C_{q}^{2}$ for digraphs

arXiv:2201.02725

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 (J. Combin. Theory Ser. A, 1995).

21 pages

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

Abstract

CI-property of $C_{p}^{2} \times C_{n}$ and $C_{p}^{2} \times C_{q}^{2}$ for digraphs