On CI-property of normal Cayley digraphs over abelian groups Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2025, Volume: Online ready, Article number : 2750070, Pages count : 23 DOI: 10.1142/s0219498827500708 | ||||
| Tags | Cayley digraphs; Cayley isomorphism property, Schur rings. | ||||
| Authors |
|
||||
| Affiliations |
|
Abstract:
A Cayley digraph Γ over a finite group G is said to be CI if for every Cayley digraph Γ′ over G isomorphic to Γ, there is an isomorphism from Γ to Γ′ which is at the same time an automorphism of G. In this paper, we study a CI-property of normal Cayley digraphs over abelian groups, i.e. such Cayley digraphs Γ that the group Gr of all right translations of G is normal in Aut(Γ). At first, we reduce the case of an arbitrary abelian group to the case of an abelian p-group. Further, we obtain several results on CI-property of normal Cayley digraphs over abelian p-groups. In particular, we prove that every normal Cayley digraph over an abelian p-group of order at most p5,wherep is an odd prime, is CI.
Cite:
Ryabov G.
On CI-property of normal Cayley digraphs over abelian groups
Journal of Algebra and its Applications. 2025. V.Online ready. 2750070 :1-23. DOI: 10.1142/s0219498827500708 WOS Scopus OpenAlex
On CI-property of normal Cayley digraphs over abelian groups
Journal of Algebra and its Applications. 2025. V.Online ready. 2750070 :1-23. DOI: 10.1142/s0219498827500708 WOS Scopus OpenAlex
Dates:
| Submitted: | Mar 2, 2025 |
| Accepted: | Oct 9, 2025 |
| Published online: | Nov 19, 2025 |
Identifiers:
| Web of science: | WOS:001618654800001 |
| Scopus: | 2-s2.0-105022663033 |
| OpenAlex: | W4415737472 |
Citing:
Пока нет цитирований