Line-primitive groups of small rank

DOI10.1016/0012-365X(88)90045-3zbMath0638.20001MaRDI QIDQ1099242

Anne Delandtsheer

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

automorphism group2-(v,k,1) designprimitive action on points

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Primitive groups (20B15)

Related Items

Classifications of finite highly transitive dimensional linear spaces, Finite linear spaces with flag-transitive groups, Most block-transitive t-designs are point-primitive, The Chevalley groups \(G_2(q)\) with \(q\) odd and 2-\((v,k,1)\) designs, Flag-transitive quasi-residual designs with sporadic socle, Extremely line-primitive automorphism groups of finite linear spaces, Alternating groups \(A_{n}\) and 2-\((v,k,1)\) designs., Line-primitive \(2\)-\((v,k,1)\) designs with \(k/(k,v)\leq 10\), Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12, Suzuki groups and 2-\((v,k,1)\) designs, Line-primitive automorphism groups of finite linear spaces, Block primitive \(2\)-\((v,k,1)\) designs admitting a Ree simple group

Cites Work

• Geometric ABA-groups
• Block transitive automorphism groups of designs
• Primitive permutation groups of odd degree, and an application to finite projective planes
• Most block-transitive t-designs are point-primitive
• Tactical decompositions and orbits of projective groups
• Line-transitive collineation groups of finite projective spaces
• On the orbits of collineation groups