Finite two-are transitive graphs admitting a ree simple group
From MaRDI portal
Publication:4261235
DOI10.1080/00927879908826660zbMath0945.05031OpenAlexW2015401703WikidataQ56988052 ScholiaQ56988052MaRDI QIDQ4261235
Xin Gui Fang, Cheryl E. Praeger
Publication date: 8 October 2000
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879908826660
Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Representations of groups as automorphism groups of algebraic systems (20F29) Simple groups: alternating groups and groups of Lie type (20D06)
Related Items
A family of symmetric graphs with complete quotients ⋮ Fintte two-arc transitive graphs admitting a suzuki simple group ⋮ 2-arc-transitive cyclic covers of \(K_{n,n}\) ⋮ Pentavalent symmetric graphs of order twice a prime power ⋮ Vertex-quasiprimitive locally primitive graphs ⋮ A new family of quasiprimitive 2-arc-transitive graphs of product action type ⋮ Vertex-imprimitive symmetric graphs with exactly one edge between any two distinct blocks ⋮ All vertex-transitive locally-quasiprimitive graphs have a semiregular automorphism ⋮ On automorphism groups of bi-quasiprimitive 2-arc-transitive graphs ⋮ On 2-arc-transitivity of Cayley graphs ⋮ Two-arc-transitive graphs of odd order. I ⋮ Vertex-primitive \(s\)-arc-transitive digraphs admitting a Suzuki or Ree group ⋮ THE TWO-ARC-TRANSITIVE GRAPHS OF SQUARE-FREE ORDER ADMITTING ALTERNATING OR SYMMETRIC GROUPS ⋮ On basic 2-arc-transitive graphs ⋮ Pentavalent symmetric graphs admitting transitive non-abelian characteristically simple groups ⋮ Finite groups, 2-generation and the uniform domination number ⋮ Classification of 2-arc-transitive dihedrants ⋮ 2-arc-transitive metacyclic covers of complete graphs ⋮ The locally 2-arc transitive graphs admitting a Ree simple group ⋮ 2-arc-transitive regular covers of complete graphs having the covering transformation group \(Z^{3}_{p}\) ⋮ Finite symmetric graphs with two-arc transitive quotients ⋮ 2-arc-transitive regular covers of $K_{n,n}$ having the covering transformation group $\mathbb{Z}_p^2$ ⋮ Two-arc-transitive graphs of odd order. II ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ A class of symmetric graphs with 2-arc transitive quotients ⋮ On primitive overgroups of quasiprimitive permutation groups ⋮ On graphs admitting arc-transitive actions of almost simple groups ⋮ On Automorphism Groups of Symmetric Cayley Graphs of Finite Simple Groups with Valency Six ⋮ Locally s-arc-transitive graphs arising from product action ⋮ Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups
Cites Work
- The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
- A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
- An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
- Finite Permutation Groups and Finite Simple Groups
- Fintte two-arc transitive graphs admitting a suzuki simple group
- Unnamed Item
- Unnamed Item