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Cyclic m-DCI-groups and m-CI-groupsIstván Kovács,
Luka Šinkovec, 2025, izvirni znanstveni članek
Opis: 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.
Ključne besede: Cayley graph, cyclic group, m-CI-group, m-DCI-group
Objavljeno v RUP: 01.04.2025; Ogledov: 221; Prenosov: 6
Celotno besedilo (446,08 KB)
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