A comment on: "Further restrictions on the structure of finite DCI-groups"

Abstract

A finite group R is a CI-group if, whenever S and T are subsets of R with the Cayley graphs Cay(R,S) and Cay(R,T) isomorphic, there exists an automorphism x of R with S^x=T. The classification of CI-groups is an open problem in the theory of Cayley graphs and is closely related to the isomorphism problem for graphs. This paper is a contribution towards this classification, as we show that every dihedral group of order 6p, with p>3 prime, is a CI-group.

This paper corrects and completes the proof of Theorem 1.1 (C.H.Li,Z.P.Lu, P.Palfy, Further restrictions on the structure of finite CI-groups, J. Algebr. Comb. 26 (2007), 161-181) as observed in the maths review MR2335710