Geodesic
Some new groups which are not CI-groups with respect to graphs
Ted Dobson1
1Mississippi State University and the University of Primorska
The electronic journal of combinatorics, Tome 25 (2018) no. 1
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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 $D_n\times F_{3p}$ are not CI-groups with respect to graphs, where $p$ is prime, $n\not = 10$ is relatively prime to $3p$, $D_n$ is the dihedral group of order $n$, and $F_{3p}$ is the nonabelian group of order $3p$.
DOI : 10.37236/6541
Classification : 05E18, 05C25, 05C60
Mots-clés : Cayley graph, CI-group, isomorphism

Ted Dobson  1

1 Mississippi State University and the University of Primorska 
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Ted Dobson. Some new groups which are not CI-groups with respect to graphs. The electronic journal of combinatorics, Tome 25 (2018) no. 1. doi: 10.37236/6541

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