The affine and projective groups are maximal

DOI10.1090/tran/6608zbMath1397.20007arXiv1310.8157OpenAlexW1917673310MaRDI QIDQ2790655

Pierre Simon, Itay Kaplan

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/1310.8157

zbMATH Keywords

affine groupprojective groupinfinite symmetric group

Mathematics Subject Classification ID

Maximal subgroups (20E28) Finite affine and projective planes (geometric aspects) (51E15) Steiner systems in finite geometry (51E10) Interpolation, preservation, definability (03C40) Infinite automorphism groups (20B27)

Related Items (8)

Jordan permutation groups and limits of \(D\)-relations ⋮ PAIRWISE NONISOMORPHIC MAXIMAL-CLOSED SUBGROUPS OF SYM(ℕ) VIA THE CLASSIFICATION OF THE REDUCTS OF THE HENSON DIGRAPHS ⋮ NIP ω$\omega$‐categorical structures: The rank 1 case ⋮ The lattice of definability: origins, recent developments, and further directions ⋮ A generalisation of von Staudt’s theorem on cross-ratios ⋮ Indifference to symmetry in Hrushovski's ab initio construction ⋮ Permutation groups containing infinite symplectic linear groups and reducts of linear spaces over the two element field ⋮ Functional reducts of the countable atomless Boolean algebra

Cites Work

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• Maximal Subgroups of Infinite Symmetric Groups
• Reducts of the random graph
• Classification of Infinite Primitive Jordan Permutation Groups
• On the Fundamental Theorem of Affine Geometry
• Notes on infinite permutation groups

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