Isomorphisms and normality of Cayley digraphs of A5

Isomorphisms and automorphism groups of a class of Cayley digraphs on Abelian groups

In this paper, we investigate problems about isomorphisms and automorphism groups of Cayley digraphs. A class of Cayley digraphs, corresponding to the so-called CDI-subsets, for which the isomorphisms are uniquely determined by the group automorphisms is characterized. Their automorphism groups are also characterized.

On the Normality of Some Cayley Digraphs with Valency 2

We call a Cayley digraph Γ = Cay(G,S) normal for G if R(G), the right regular representation of G, is a normal subgroup of the full automorphism group Aut(Γ) of Γ. In this paper we determine the normality of Cayley digraphs of valency 2 on the groups of order pq and also on non-abelian finite groups G such that every proper subgroup of G is abelian.

On the normality of Cayley digraphs of groups of order twice a prime

We call a Cayley digraph X = Cay(G, 8) normal for G if the right regular representation R( G) of G is normal in the full automorphism group Aut(X) of X. In this paper we determine the normality of Cayley digraphs of groups of order twice a prime.

Automorphisms of groups and isomorphisms of Cayley digraphs

Let G be a graph and S a subset of G not ,",VLLCU,lJ.HHF-, element of The of G with respect to is a directed graph with vertex set G and for x and y in there is an arc from x to y if and only if x-1y E S. In this paper, we discuss the between the isomorphisms of D(G, S) and the automorphisms of G. The results to studying the and automorphisms of hierarchical digraphs of abelian groups. For any ...

Automorphism groups and isomorphisms of Cayley digraphs