Finite linear spaces admitting a Ree simple group.

DOI10.1016/J.EJC.2003.10.001zbMath1042.20001OpenAlexW2083041839MaRDI QIDQ1427429

Shenglin Zhou, Wei-jun Liu, Xin Gui Fang, Hui-Ling Li

Publication date: 14 March 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.10.001

zbMATH Keywords

finite linear spacesRee groupsline transitive actionsline transitive automorphism groups

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (7)

Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\) ⋮ Almost simple groups with socle \(^{3} D_{4}( q )\) act on finite linear spaces ⋮ Block-transitive \(3\)-\((v, k, 1)\) designs associated with alternating groups ⋮ On symmetric designs with flag‐transitive and point‐quasiprimitive automorphism groups ⋮ On the automorphisms of \(2 -(v, k, 1)\) designs ⋮ Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces. ⋮ Finite projective planes admitting a projective linear group \(\operatorname{PSL}(2, q)\)

Cites Work

• Homogeneous designs and geometric lattices
• Linear spaces with flag-transitive automorphism groups
• Structure of Ree groups
• The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs
• Suzuki groups and automorphisms of finite linear spaces
• Finite linear spaces admitting a two-dimensional projective linear group
• Finite linear spaces admitting a projective group \(\text{PSU}(3,q)\) with \(q\) even
• The Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• Line-Transitive Automorphism Groups of Linear Spaces
• Alternating Groups Acting on Finite Linear Spaces
• Sporadic groups and automorphisms of linear spaces
• The Socle of Automorphism Groups of Linear Spaces
• On the orbits of collineation groups
• Suzuki groups and 2-\((v,k,1)\) designs
• Unnamed Item

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