Normal Cayley digraphs of cyclic groups with CI-property

Normal Cayley digraphs of cyclic groups with CI-property Full article

Journal

Communications in Algebra
ISSN: 0092-7872 , E-ISSN: 1532-4125

Output data

Year: 2022, Volume: 50, Number: 7, Pages: 2911-2920 Pages count : 10 DOI: 10.1080/00927872.2021.2022156

Tags

Cayley digraph; CI-group; DCI-group; NCI-group; NDCI-group

Authors

Xie J.-H. ¹ , Feng Y.-Q. ¹ , Ryabov G. ^2,3 , Liu Y.-L. ¹

Affiliations

1	Department of Mathematics, Beijing Jiaotong University, Beijing, China
2	Laboratory of Fundamental Problems of Mathematics in Digital Technologies, Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
3	Department of Computer Science in Economics, Novosibirsk State Technical University, Novosibirsk, Russian Federation

Funding (1)

Russian Science Foundation

19-11-00039

A Cayley (di)graph (Formula presented.) of a group G is called normal if the right regular representation of G is normal in the full automorphism group of (Formula presented.) and a CI-(di)graph if for every Cayley (di)graph (Formula presented.) implies that there is (Formula presented.) such that (Formula presented.) We call a group G an NDCI-group or NCI-group if all normal Cayley digraphs or graphs of G are CI-digraphs or CI-graphs, respectively. We prove that a cyclic group of order n is an NDCI-group if and only if (Formula presented.) and an NCI-group if and only if either n = 8 or (Formula presented.).

Xie J.-H. , Feng Y.-Q. , Ryabov G. , Liu Y.-L.
Normal Cayley digraphs of cyclic groups with CI-property
Communications in Algebra. 2022. V.50. N7. P.2911-2920. DOI: 10.1080/00927872.2021.2022156 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000744322500001
Scopus:	2-s2.0-85122965343
Elibrary:	48128107
OpenAlex:	W4206605569

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