ON THE NORMALITY OF SOME CAYLEY DIGRAPHS WITH VALENCY 2

Mehdi Alaeiyan

Abstract


We call a Cayley digraph 􀀀=Cay(G; S) normal for G if R(G), the rightregular representation of G, is a normal subgroup of the full automorphism groupAut(􀀀) of 􀀀. In this paper we determine the normality of Cayley digraphs of valency2 on the groups of order pq and also on non-abelian nite groups G such that everyproper subgroup of G is abelian.

DOI : http://dx.doi.org/10.22342/jims.17.2.3.67-72


Keywords


Cayley digraph, normal Cayley digraph, automorphism group.

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DOI: https://doi.org/10.22342/jims.17.2.3.67-72

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Journal of the Indonesian Mathematical Society
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