The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs
From MaRDI portal
Publication:1395014
DOI10.1016/S0195-6698(02)00145-2zbMath1019.05014MaRDI QIDQ1395014
Publication date: 26 June 2003
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25)
Related Items (9)
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 ⋮ Finite linear spaces admitting a Ree simple group. ⋮ On the automorphisms of \(2 -(v, k, 1)\) designs ⋮ Block primitive 2-\((v,k,1)\) designs admitting a Ree group of characteristic two ⋮ Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12 ⋮ \(2\)-\((v, k, 1)\) designs admitting automorphism groups with socle \(\mathrm{Sz}(q)\) ⋮ Almost simple groups with socle \(\text{Ree}(q)\) acting on finite linear spaces. ⋮ On the existence of block-transitive Steiner designs with k divides v
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric ABA-groups
- Block transitive automorphism groups of designs
- Linear spaces with flag-transitive automorphism groups
- Primitive permutation groups of odd degree, and an application to finite projective planes
- Chevalley groups of type \(G_ 2\) as the group of a trilinear form
- Line-primitive groups of small rank
- 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 Ree groups \(^2G_2(q)\) and \(2\)-\((v,k,1)\) block designs
- Line-primitive automorphism groups of finite linear spaces
- The conjugate classes of Chevalley groups of type \((G_2)\)
- Sporadic groups and automorphisms of linear spaces
- 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: The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs