Abstract | ||
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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 Dobson | 1 | 1 | 1.38 |