Name
Abstract | ||
|---|---|---|
A Cayley digraph Cay(G, S) of a finite group G with respect to a subset S of G , where S does not contain the identity 1 of G , is said to be a CI-digraph, if Cay(G,S) expressionpproximexpressiontely equexpressionl to Cay(G, T ) implies that G has an automorphism mapping S to T . The group G is called a DCI-group or an NDCI-group if all Cayley digraphs or normal Cayley digraphs of G are CI-digraphs. We prove in this paper that a generalized quaternion group Q(4n) of order 4 n is an NDCI-group if and only if n = 2 or n is odd. As a result, we show that if Q(4n) is a DCI-group then n = 2 or n is odd-square-free. (C)& nbsp;2022 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.amc.2022.126966 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | DocType | Volume |
CI-Digraph, NDCI-Group, DCI-Group, Generalized quaternion group | Journal | 422 |
ISSN | Citations | PageRank |
0096-3003 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jin-Hua Xie | 1 | 0 | 0.34 |
| Yan-quan Feng | 2 | 350 | 41.80 |
| Young Soo Kwon | 3 | 0 | 0.34 |