Elementary abelian groups of rank 5 are DCI-groups

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:157

Article

Feng, Yan-Quan¹  Kovacs, Istvan^2,3 

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Univ Primorska, IAM, Glagoljaska 8, Koper 6000, Slovenia

[3] Univ Primorska, FAMNIT, Glagoljaska 8, Koper 6000, Slovenia

关键词: Cayley graph;    Isomorphism;    CI-group;    2-Closed permutation group;    Schur ring;   

DOI  :  10.1016/j.jcta.2018.02.003

来源: Elsevier

【 摘 要 】

In this paper, we show that the group Z(p)(5) is a DCI-group for any odd prime p, that is, two Cayley digraphs Cay(Z(p)(5), S) and Cay(Z(P)(5),T) are isomorphic if and only if S = T-phi for some automorphism phi of the group Z(P)(5). (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free