2024/07/17 by Jin-Hua Xie, Xie, Jin-Hua, Zai Ping Lu +3
Engineering · Mathematics · #05C25 #20B25 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2407.12457
openalex publication_date 2024/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let m be a positive integer. A group G is said to be an m-DCI-group or an m-CI-group if G has the k-DCI property or k-CI property for all positive integers k at most m, respectively. Let G be a dihedral group of order 2n with n≥ 3. Qu and Yu proved that G is an m-DCI-group or m-CI-group, for every m∈ \1,2,3\, if and only if n is odd. In this paper, it is shown that G is a 4-DCI-group if and only if n is odd and not divisible by 9, and G is a 4-CI-group if and only if n is odd.