Cayley digraphs of 2-genetic groups of odd prime-power order

DOI10.1016/j.jcta.2016.05.001zbMath1342.05067OpenAlexW2418287870MaRDI QIDQ530768

Jin-Xin Zhou, Yi Wang, Yan Quan Feng

Publication date: 1 August 2016

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2016.05.001

zbMATH Keywords

automorphism groupCayley digraph2-genetic group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20)

Related Items (10)

Two-distance transitive normal Cayley graphs ⋮ A classification of tetravalent half-arc-transitive metacirculants of 2-power orders ⋮ Two families of pseudo metacirculants ⋮ Hexavalent edge-transitive graphs of order \(3p^2\) ⋮ Half-arc-transitive graphs of prime-cube order of small valencies ⋮ Arc-transitive Cayley graphs on nonabelian simple groups with prime valency ⋮ A solution of Li-Xia's problem on \(s\)-arc-transitive solvable Cayley graphs ⋮ Bipartite edge-transitive bi-p-metacirculants ⋮ A construction of pseudo metacirculants ⋮ Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups

Uses Software

• Magma

Cites Work

• The automorphism group of the alternating group graph
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• On the Automorphism Groups of Cayley Graphs of Finite Simple Groups
• Half-arc-transitive graphs of prime-cube order of small valencies
• Regular Cayley maps for cyclic groups
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