Most block-transitive t-designs are point-primitive
From MaRDI portal
Publication:1120578
DOI10.1007/BF00572446zbMath0673.05010MaRDI QIDQ1120578
Publication date: 1989
Published in: Geometriae Dedicata (Search for Journal in Brave)
Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25)
Related Items (30)
Inequalities involving the Delandtsheer--Doyen parameters for finite line-transitive linear spaces ⋮ Classifications of finite highly transitive dimensional linear spaces ⋮ Line-primitive groups of small rank ⋮ Imprimitive flag-transitive symmetric designs ⋮ Finite linear spaces with flag-transitive groups ⋮ Delandtsheer-Doyen parameters for block-transitive point-imprimitive 2-designs ⋮ Block-transitive 3-designs with block size at most 6 ⋮ Block-transitive automorphism groups on 2-designs with block size 4 ⋮ Block-transitive \(3\)-\((v, 4, \lambda)\) designs with sporadic or alternating socle ⋮ Block-transitive 2-designs with a chain of imprimitive point-partitions ⋮ Flag-transitive, point-imprimitive 2-designs and direct products of symmetric groups ⋮ Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\mathrm{gcd}(k, r)\) at most \(12\) ⋮ A finiteness theorem of block-transitive point-imprimitive 3-designs ⋮ Line-transitive point-imprimitive linear spaces with Fang-Li parameter \(\operatorname{gcd}(k,r)\) at most ten ⋮ Extremely line-primitive automorphism groups of finite linear spaces ⋮ Alternating groups \(A_{n}\) and 2-\((v,k,1)\) designs. ⋮ The block-transitive, point-imprimitive 2-(729,8,1) designs ⋮ Block-transitive \(t\)-designs. I: Point-imprimitive designs ⋮ Line-primitive \(2\)-\((v,k,1)\) designs with \(k/(k,v)\leq 10\) ⋮ Solvable block-transitive automorphism groups of \(2\)-\((v,k,1)\) designs ⋮ Line-transitive point-imprimitive linear spaces with number of points being a product of two primes ⋮ Block-transitive designs in affine spaces ⋮ Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12 ⋮ Sporadic groups and automorphisms of linear spaces ⋮ A reduction for block-transitive triple systems ⋮ Block-transitive, point-imprimitive designs with \(\lambda \Relbar 1\) ⋮ Classification of line-transitive point-imprimitive linear spaces with line size at most 12 ⋮ Line-primitive automorphism groups of finite linear spaces ⋮ Finite line-transitive linear spaces: theory and search strategies ⋮ A note on block-transitive point-imprimitive designs
Cites Work
- Geometric ABA-groups
- Block transitive automorphism groups of designs
- Primitive permutation groups of odd degree, and an application to finite projective planes
- Flag-transitivity and primitivity
- Line-primitive groups of small rank
- Steiner triple systems with block-transitive automorphism groups
- Automorphism groups of designs
- Line-transitive collineation groups of finite projective spaces
- On the orbits of collineation groups
This page was built for publication: Most block-transitive t-designs are point-primitive
