The locally 2-arc transitive graphs admitting a Ree simple group

DOI10.1016/j.jalgebra.2004.08.013zbMath1058.05034OpenAlexW1971500264WikidataQ56987875 ScholiaQ56987875MaRDI QIDQ1770519

Cheryl E. Praeger, Cai Heng Li, Xin Gui Fang

Publication date: 7 April 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.013

zbMATH Keywords

2-arc transitive graphsinfinite families of graphsRee simple group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

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Cites Work

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• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• The nonexistence of 8-transitive graphs
• Über lokal s-reguläre Graphen
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• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• The maximal factorizations of the finite simple groups and their automorphism groups
• Fintte two-arc transitive graphs admitting a suzuki simple group
• Finite two-are transitive graphs admitting a ree simple group
• Analysing finite locally 𝑠-arc transitive graphs
• A classification of semisymmetric graphs of order 2pq
• MATRIX GENERATORS FOR THE REE GROUPS²G₂(q)
• Automorphisms of trivalent graphs