A geometric characterization of Dowling lattices

DOI10.1016/0097-3165(91)90032-CzbMath0723.05033OpenAlexW1977449924MaRDI QIDQ757385

Kenneth P. Bogart, Joseph E. Bonin

Publication date: 1991

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(91)90032-c

zbMATH Keywords

generalized partitionsDowling latticespartial partitions

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10) Complemented lattices, orthocomplemented lattices and posets (06C15)

Related Items (6)

Techniques in matroid reconstruction ⋮ Automorphisms of Dowling Lattices and Related Geometries ⋮ Characterizing combinatorial geometries by numerical invariants ⋮ Complete principal truncations of Dowling lattices ⋮ Modular elements of higher-weight Dowling lattices ⋮ Extending a matroid by a cocircuit

Cites Work

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• Modularity complemented geometric lattices
• A classification of modularly complemented geometric lattices
• A class of geometric lattices based on finite groups

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