Finite linear spaces admitting a two-dimensional projective linear group

DOI10.1016/S0097-3165(03)00013-XzbMath1026.05018MaRDI QIDQ1406735

Wei-jun Liu

Publication date: 7 September 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

line-transitivelinear space

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25)

Related Items (16)

Block-transitive 2-\((v, k, 1)\) designs and the twisted simple groups \({}^2 E_6(q)\) ⋮ A new condition for solvable groups ⋮ 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 ⋮ Block-transitive automorphism groups of Steiner 3-designs ⋮ Extremely line-primitive automorphism groups of finite linear spaces ⋮ Finite linear spaces admitting a projective group \(\text{PSU}(3,q)\) with \(q\) even ⋮ Finite linear spaces admitting a Ree simple group. ⋮ On the automorphisms of \(2 -(v, k, 1)\) designs ⋮ Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces. ⋮ Unsolvable block transitive automorphism groups of \(2-(v,k,1)(k=6,7,8,9)\) designs ⋮ Block transitive \(2\)-\(( v , k , 1 )\) designs and \(\mathrm{PGL}_2(q)\) groups ⋮ Point-primitive linear spaces with number of points being a product of two primes ⋮ Finite line-transitive linear spaces: theory and search strategies ⋮ Finite projective planes admitting a projective linear group \(\operatorname{PSL}(2, q)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Distance-transitive representations of groups G with \(PSL_ 2(q)\trianglelefteq G\leq P\Gamma L_ 2(q)\)
• Homogeneous designs and geometric lattices
• Linear spaces with flag-transitive automorphism groups
• Finite linear spaces with flag-transitive groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• Vertex-primitive graphs of order a product of two distinct primes
• The Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs
• Line-Transitive Automorphism Groups of Linear Spaces
• Alternating Groups Acting on Finite Linear Spaces
• Sporadic groups and automorphisms of linear spaces
• The Diophantine Equation x 2 = 4q n + 4q m + 1
• The Socle of Automorphism Groups of Linear Spaces
• Endliche Gruppen I
• On the orbits of collineation groups
• Line-primitive \(2\)-\((v,k,1)\) designs with \(k/(k,v)\leq 10\)
• Suzuki groups and 2-\((v,k,1)\) designs

This page was built for publication: Finite linear spaces admitting a two-dimensional projective linear group