Automorphism groups of tetravalent Cayley graphs on minimal non-abelian groups

• Date: 2018
• Main Author: Ghasemi, Mohsen
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Cayley graph; normal Cayley graph; minimal nonabelian group; 05C25; 20B25
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/692
• Journal Title: Algebra and Discrete Mathematics

A Cayley graph \(X\)\(=\)Cay\((G,S)\) is called {\it normal} for \(G\) if the right regular representation \(R(G)\)  of \(G\) is normal in the full automorphism group Aut\((X)\) of \(X\). In the present paper it is proved that all connected tetravalent Cayley graphs on a minimal non-abelian group \(...