Based on the earlier work of Li from 1997 and Dobson from 2008, in this paper we complete the classification of cyclic m-DCI-groups and m-CI-groups. For a positive integer m such that m ? 3, we show that the group Z_(n) is an m-DCI-group if and only if n is not divisible by 8 nor by p2 for any odd prime p < m. Furthermore, if m ? 6, then we show that Zn is an m-CI-group if and only if either n ? {8, 9, 18}, or n ? {8, 9, 18} and n is not divisible by 8 nor by p2 for any odd prime p < (m - 1)/2.

Rights

URN

URN:NBN:SI:DOC-MTNWAE7K

COBISSID

230978307

DOI

10.26493/2590-9770.1740.b72

Added

20.02.2026

Metadata

Citation

APA:

Kovács, István, Šinkovec, Luka (2025). Cyclic m-DCI-groups and m-CI-groups. The art of discrete and applied mathematics, volume 8, issue 1, str. 1-12. URN:NBN:SI:DOC-MTNWAE7K from http://www.dlib.si

MLA:

Kovács, István, Šinkovec, Luka. "Cyclic m-DCI-groups and m-CI-groups." The art of discrete and applied mathematics volume 8. issue 1 (2025) str. 1-12.
<http://www.dlib.si/?URN=URN:NBN:SI:DOC-MTNWAE7K>