A family of nonnormal Cayley digraphs

DOI10.1007/s101140000097zbMath0980.05030OpenAlexW2072011765MaRDI QIDQ5936970

Jing Lin Chen, Dian Jun Wang, Yan Quan Feng

Publication date: 25 February 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140000097

zbMATH Keywords

normal Cayley digraph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (9)

On reconstruction of normal edge-transitive Cayley graphs ⋮ Normal Cayley digraphs on minimal non-abelian groups ⋮ Tetravalent edge-transitive Cayley graphs of \({\mathrm{PGL}(2,p)}\) ⋮ Normal edge-transitive Cayley graphs of the group \(U_{6n}\) ⋮ On tetravalent normal edge-transitive Cayley graphs on the modular group ⋮ Tetravalent normal edge-transitive Cayley graphs on a certaingroup of order $6n$ ⋮ Normality of tetravalent Cayley graphs of odd prime-cube order and its application ⋮ Automorphism groups of tetravalent Cayley graphs on regular \(p\)-groups ⋮ Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets

Cites Work

• Half-transitive graphs of prime-cube order
• Point-symmetric graphs and digraphs of prime order and transitive permutation groups of prime degree
• Normal Cayley graphs of finite groups
• Automorphism groups and isomorphisms of Cayley digraphs
• Isomorphisms of connected Cayley digraphs
• Isomorphisms of circulant digraphs
• On the isomorphisms and automorphism groups of circulants
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