How many ways can two composition series intersect?

DOI10.1016/j.disc.2012.08.003zbMath1263.06002OpenAlexW2058281281MaRDI QIDQ1759394

Balázs Udvari, László Ozsvárt, Gábor Czédli

Publication date: 20 November 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2012.08.003

zbMATH Keywords

semimodular latticegroupcomposition seriesplanar latticeJordan-Hölder theoremcounting latticessemimodularityslim latticecounting matrices

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Subnormal subgroups of abstract finite groups (20D35)

Related Items (13)

Diagrams and rectangular extensions of planar semimodular lattices ⋮ The asymptotic number of planar, slim, semimodular lattice diagrams ⋮ Quasiplanar diagrams and slim semimodular lattices ⋮ Slim semimodular lattices. II: A description by patchwork systems ⋮ The number of slim rectangular lattices. ⋮ A convex combinatorial property of compact sets in the plane and its roots in lattice theory ⋮ Notes on planar semimodular lattices. VII: Resections of planar semimodular lattices ⋮ CD-independent subsets in meet-distributive lattices. ⋮ Patch extensions and trajectory colorings of slim rectangular lattices. ⋮ Coordinatization of finite join-distributive lattices. ⋮ Finite convex geometries of circles ⋮ On the number of slim, semimodular lattices ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices
• A new look at the Jordan-Hölder theorem for semimodular lattices
• The variety generated by planar modular lattices
• The Jordan-Hölder theorem with uniqueness for groups and semimodular lattices
• A use for frequently rediscovering a concept
• The matrix of a slim semimodular lattice
• The sorting order on a Coxeter group.
• On the number of distributive lattices
• Slim semimodular lattices. I. A visual approach
• Counting finite lattices.
• Join-semidistributive lattices and convex geometries.
• Subgroup lattices of groups
• Planar subgroup lattices.
• Locally atomic upper locally distributive lattices
• Lattices with unique irreducible decompositions
• Lattice Theory: Foundation
• Notes on planar semimodular lattices. I. Construction

This page was built for publication: How many ways can two composition series intersect?