ON THE NORMALITY OF SOME CAYLEY DIGRAPHS WITH VALENCY 2

Abstract: 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.
Key words: Cayley digraph, normal Cayley digraph, automorphism group
Author: Mehdi Alaeiyan and Mohsen Ghasemi
Journal Code: jpmatematikagg110012

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