Wang, Li; Li, Yuan 2-valent Cayley digraphs over nonabelian groups. (Chinese. English summary) Zbl 1474.05165 Math. Pract. Theory 50, No. 20, 257-262 (2020). Summary: We called a Cayley digraph \(X = {\mathrm{Cay}} (G, S)\) normal if the right regular representation \(R(G)\) of G is normal in the full automorphism group \({\mathrm{Aut}} (X)\) of \(X\). The sufficient conditions for the 2-valent Cayley digraphs of nonabelian groups to be normal are given. In addition, 2-valent normal Cayley digraphs on generalized quaternion groups are determined by means of automorphism groups and checking the cycles. MSC: 05C20 Directed graphs (digraphs), tournaments 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) Keywords:Cayley digraph; normality; nonabelian group PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Li}, Math. Pract. Theory 50, No. 20, 257--262 (2020; Zbl 1474.05165)