Elementary abelian groups of rank 5 are DCI-groups

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.