Title
Some New Groups which are not CI-groups with Respect to Graphs.
Abstract
A group G is a CI-group with respect to graphs if two Cayley graphs of G are isomorphic if and only if they are isomorphic by a group automorphism of G. We show that an infinite family of groups which include D-n x F-3p are not CI-groups with respect to graphs, where p is prime, n not equal 10 is relatively prime to 3p, D-n is the dihedral group of order n, and F-3p is the nonabelian group of order 3p.
Year
Venue
Keywords
2018
ELECTRONIC JOURNAL OF COMBINATORICS
Cayley graph,CI-group,isomorphism
Field
DocType
Volume
Prime (order theory),Discrete mathematics,Graph,Combinatorics,Dihedral group,Automorphism,Cayley graph,Isomorphism,Coprime integers,Mathematics
Journal
25.0
Issue
ISSN
Citations 
1.0
1077-8926
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Ted Dobson111.38