Some New Groups which are not CI-groups with Respect to Graphs
| Autor: | Ted Dobson |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Coprime integers
Cayley graph Group (mathematics) Applied Mathematics Dihedral group Automorphism Prime (order theory) Theoretical Computer Science Combinatorics Computational Theory and Mathematics Discrete Mathematics and Combinatorics Order (group theory) Geometry and Topology Isomorphism Mathematics |
| Zdroj: | The Electronic Journal of Combinatorics. 25 |
| ISSN: | 1077-8926 |
| DOI: | 10.37236/6541 |
| Popis: | 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 $3p$. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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