Transitive projective planes and insoluble groups

DOI10.1090/tran/6366zbMath1345.20005arXiv0903.3302OpenAlexW2963960470MaRDI QIDQ2790581

Nick Gill

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3302

zbMATH Keywords

Sylow subgroupsfinite projective planestransitive automorphism groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite affine and projective planes (geometric aspects) (51E15) Non-Desarguesian affine and projective planes (51A35)

Related Items (6)

proper partial geometries with an automorphism group acting primitively on points and lines ⋮ Symmetries of biplanes ⋮ Generalised quadrangles with a group of automorphisms acting primitively on points and lines ⋮ New necessary conditions for the existence of finite non-Desarguesian flag-transitive projective planes ⋮ Point-primitive generalised hexagons and octagons ⋮ On prime order automorphisms of generalized quadrangles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite geometries.
• On perspectivities of finite projective planes
• On projective and affine planes with transitive collineation groups
• On the maximal subgroups of the finite classical groups
• Nilpotent Singer groups.
• Primitive permutation groups of odd degree, and an application to finite projective planes
• A polynomial bound for the orders of primitive solvable groups
• Maximal subgroups and automorphisms of Chevalley groups
• The prime power conjecture is true for \(n<2,000,000\)
• Finite flag-transitive projective planes: A survey and some remarks
• On finite near-fields
• Finite projective planes, Fermat curves, and Gaussian periods
• Central elements in core-free groups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• Modular analogues of Jordan's theorem for finite linear groups
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• On the orders of Primitive Permutation Groups
• Bounding the number of conjugacy classes of a permutation group
• Transitive projective planes

This page was built for publication: Transitive projective planes and insoluble groups