Pentavalent Cayley graphs of order twice a prime square with solvable automorphism groups

Author:

Salarian M. Reza1,Abedi Fateme1

Affiliation:

1. Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Ave., Tehran 1561836314, I.R. Iran

Abstract

A Cayley graph [Formula: see text] on a finite group [Formula: see text] is said to be normal if the right regular representation [Formula: see text] of [Formula: see text] is normal in the full automorphism group of [Formula: see text]. In this paper, we classify all connected pentavalent non-normal Cayley graphs of order [Formula: see text] with solvable automorphism groups and [Formula: see text] a prime.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

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