ON THE NORMALITY OF SOME CAYLEY DIGRAPHS WITH VALENCY 2

Mehdi Alaeiyan

doi:10.22342/jims.17.2.3.67-72

Mehdi Alaeiyan ⁽¹⁾

(1) Department of Mathematics, Iran University of Science and Technology, Iran, Islamic Republic of

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

Issue
Volume 17 Number 2 (October 2011)

Submitted
December 31, 2011

Accepted
December 31, 2011

Published
December 31, 2011

Keywords:

Cayley digraph, normal Cayley digraph, automorphism group.

Abstract Full Paper

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

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Authors

Mehdi Alaeiyan

Department of Mathematics, Iran University of Science and Technology

m.ghasemi@mail.urmia.ac.ir (Primary Contact)

Alaeiyan, M. (2011). ON THE NORMALITY OF SOME CAYLEY DIGRAPHS WITH VALENCY 2. Journal of the Indonesian Mathematical Society, 17(2), 67–72. https://doi.org/10.22342/jims.17.2.3.67-72