The affine and projective groups are maximal
From MaRDI portal
Publication:2790655
DOI10.1090/tran/6608zbMath1397.20007arXiv1310.8157OpenAlexW1917673310MaRDI QIDQ2790655
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
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
- Unnamed Item
- A new strongly minimal set
- Maximal subgroups of infinite symmetric groups
- Transitivity of permutation groups on unordered sets
- Reducts of random hypergraphs
- Collineation group as a subgroup of the symmetric group.
- Reducts of Ramsey structures
- The 116 reducts of (ℚ, <, a)
- Subgroups of Infinite Symmetric Groups
- 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
This page was built for publication: The affine and projective groups are maximal
