Dimension and automorphism groups of lattices

DOI10.1007/BF02483890zbMath0495.06002OpenAlexW2039581458MaRDI QIDQ1169489

S. Singh

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf02483890

zbMATH Keywords

order dimensionfinite modular latticesautomorphism groups of finite lattices

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Representations of groups as automorphism groups of algebraic systems (20F29) Structure theory of lattices (06B05) Varieties of lattices (06B20)

Related Items (11)

Automorphism groups of covering posets and of dense posets ⋮ Coloring planar homothets and three-dimensional hypergraphs ⋮ Planar graphs and poset dimension ⋮ Automorphism groups of finite distributive lattices with a given sublattice of fixed points ⋮ Separability, boxicity, and partial orders ⋮ A note on Schnyder's theorem ⋮ Automorphism groups of posets and lattices with a given subset of fixed points ⋮ Orthogonal surfaces and their CP-orders ⋮ Automorphism groups of posets with forbidden subposets ⋮ Some combinatorial aspects of congruence lattice representations ⋮ Gruppenuniversalität und Homogenisierbarkeit

Cites Work

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• Planar lattices and planar graphs
• Vector representable matroids of given rank with given automorphism group
• Every group is the collineation group of some projective plane
• Bounded Endomorphisms of Lattices of Finite Height
• On Modular Lattices of Order Dimension Two
• Partially Ordered Sets
• Lattices With a Given Abstract Group of Automorphisms

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