The automorphism groups of arc-transitive abelian \(p\)-covers of \(K_5\)
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Publication:1684939
DOI10.1007/s00373-017-1838-8zbMath1387.05208OpenAlexW2744930526MaRDI QIDQ1684939
Publication date: 12 December 2017
Published in: Graphs and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00373-017-1838-8
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)
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Cites Work
- Elementary abelian covers of graphs
- A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2)
- Tetravalent \(s\)-transitive graphs of order \(4p\)
- On 4-valent symmetric graphs
- Arc-transitive Cayley graphs of valency at most four on abelian groups
- On the stabilizer of the automorphism group of a 4-valent vertex-transitive graph with odd-prime-power order
- Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs
- Arc-transitive abelian regular covers of cubic graphs
- Tetravalent arc-transitive locally-Klein graphs with long consistent cycles
- Finite simple groups with narrow prime spectrum.
- Tetravalent edge-transitive Cayley graphs with odd number of vertices
- On 3-arc-transitive covers of the dodecahedron graph
- Arc-transitive abelian regular covering graphs
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