Every Finite Group is the Automorphism Group of Some Finite Orthomodular Lattice

DOI10.2307/2041882zbMath0352.06007OpenAlexW4244457313MaRDI QIDQ4121944

Gerald Schrag

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041882

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of finite geometries (05B25) Complemented lattices, orthocomplemented lattices and posets (06C15) Structure theory of Boolean algebras (06E05) Logical aspects of Boolean algebras (03G05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthomodular lattices admitting no states
• The logic of quantum mechanics
• Graphs with Given Group and Given Graph-Theoretical Properties
• An Approach to Empirical Logic
• Graphs of Degree Three with a Given Abstract Group
• Lattices With a Given Abstract Group of Automorphisms

Related Items (4)

Logicoalgebraic structures. I ⋮ Automorphism groups and the full state spaces of the Petersen graph generalizations of \(G_{32}\) ⋮ Bibliography on quantum logics and related structures ⋮ Automorphism groups of orthomodular lattices

This page was built for publication: Every Finite Group is the Automorphism Group of Some Finite Orthomodular Lattice