Permutation groups containing infinite symplectic linear groups and reducts of linear spaces over the two element field

DOI10.1080/00927872.2016.1233234zbMath1388.20005arXiv1506.00220OpenAlexW2528357881MaRDI QIDQ4978358

Bertalan Bodor, Kende Kalina, Csaba Szabó

Publication date: 10 August 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00220

zbMATH Keywords

automorphism groupreductinfinite permutation group

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Equational classes, universal algebra in model theory (03C05) Subgroups of symmetric groups (20B35) Infinite automorphism groups (20B27) Categoricity and completeness of theories (03C35)

Related Items (2)

Infinitely many reducts of homogeneous structures ⋮ Functional reducts of the countable atomless Boolean algebra

Cites Work

• Reducts of the random partial order
• On groups containing the projective special linear group
• Transitivity of permutation groups on unordered sets
• Reducts of random hypergraphs
• Minimal functions on the random graph
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• A new operation on partially ordered sets.
• The affine and projective groups are maximal
• The reducts of equality up to primitive positive interdefinability
• The 116 reducts of (ℚ, <, a)
• Reducts of the random graph
• On the Maximality of Psl(D + 1, q ), d ⩾ 2
• Decidability of Definability

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