On the Normality of Some Cayley Digraphs with Valency 2
نویسندگان
چکیده
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.
منابع مشابه
On the normality of Cayley digraphs of valency 2 on non-abelian groups of odd square free order
In this paper, we prove that all Cayley digraphs of valency 2 on nonabelian groups of odd square-free order are normal. For a given subset S of a finite group G without the identity element 1, the Cayley digraph on G with respect to S is denoted by r =Cay(G, S) where V(r) = G, E(r) = {(g, 8g) I 9 E G,8 E S}. It is clear that Aut (r), the automorphism group of r, contains the right regular repre...
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