@article{8600bfdf5ef34cf0b9ac01f498b3a7e4,
title = "The Cayley isomorphism property for the group C5 2 × Cp",
abstract = "A finite group G is called a DCI-group if two Cayley digraphs over G are isomorphic if and only if their connection sets are conjugate by a group automorphism. We prove that the group C5 2 × Cp, where p is a prime, is a DCI-group if and only if p ≠ 2. Together with the previously obtained results, this implies that a group G of order 32p, where p is a prime, is a DCI-group if and only if p ≠ 2 and G ≅ C5 2 × Cp.",
keywords = "DCI-groups, Isomorphisms, Schur rings, ADAMS CONJECTURE, SCHUR RINGS, ELEMENTARY ABELIAN-GROUP, GRAPHS",
author = "Grigory Ryabov",
note = "Funding Information: ∗The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. The author would like to thank Prof. Istv{\'a}n Kov{\'a}cs for the fruitful discussions on the subject matters, Prof. Pablo Spiga and the anonymous referee for valuable comments which help to improve the text significantly. E-mail address: gric2ryabov@gmail.com (Grigory Ryabov) Publisher Copyright: {\textcopyright} 2020 Society of Mathematicians, Physicists and Astronomers of Slovenia. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
doi = "10.26493/1855-3974.2348.F42",
language = "English",
volume = "19",
pages = "277--295",
journal = "Ars Mathematica Contemporanea",
issn = "1855-3966",
publisher = "DMFA Slovenije",
number = "2",
}