Two-arc transitive graphs admitting a two-dimensional projective linear group
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Publication:4704673
DOI10.1515/jgth.1999.023zbMath0955.05054OpenAlexW1987379743MaRDI QIDQ4704673
Akbar Hassani, Cheryl E. Praeger, Luz R. Nochefranca
Publication date: 13 February 2001
Published in: Journal of Group Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jgth.1999.023
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75)
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A new family of quasiprimitive 2-arc-transitive graphs of product action type ⋮ All vertex-transitive locally-quasiprimitive graphs have a semiregular automorphism ⋮ Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups ⋮ The vertex-transitive and edge-transitive tetravalent graphs of square-free order ⋮ On automorphism groups of bi-quasiprimitive 2-arc-transitive graphs ⋮ Two-arc-transitive graphs of odd order. I ⋮ THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS ⋮ On basic 2-arc-transitive graphs ⋮ Symmetric graphs of prime valency associated with some almost simple groups ⋮ Tetravalent arc-transitive graphs of order twice a product of two primes ⋮ Two-arc-transitive graphs of odd order. II ⋮ A solution of Li-Xia's problem on \(s\)-arc-transitive solvable Cayley graphs ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ On primitive overgroups of quasiprimitive permutation groups ⋮ Vertex primitive \(s\)-transitive Cayley graphs ⋮ Tetravalent edge-transitive Cayley graphs with odd number of vertices ⋮ Locally s-arc-transitive graphs arising from product action
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