ON GRAPHS OF PRIME VALENCY ADMITTING A SOLVABLE ARC-TRANSITIVE GROUP

DOI10.1017/S0004972715000428zbMath1321.05111MaRDI QIDQ2949803

Boštjan Kuzman

Publication date: 2 October 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

solvable grouparc-transitive graphsedge kernelpentavalent graphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Cites Work

• On symmetric and locally finite actions of groups on the quintic tree
• Symmetric cubic graphs with solvable automorphism groups
• Elementary abelian covers of graphs
• On cubic graphs admitting an edge-transitive solvable group
• Action graphs and coverings
• The Magma algebra system. I: The user language
• Some computational aspects of solvable regular covers of graphs
• Vertex-transitive graphs: Symmetric graphs of prime valency
• ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS
• An application of p-factorization methods to symmetric graphs
• ON THE ORDER OF ARC-STABILISERS IN ARC-TRANSITIVE GRAPHS, II
• On the order of arc-stabilisers in arc-transitive graphs with prescribed local group

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