A Classification of Modularly Complemented Geometric Lattices

Jeff Kahn, Joseph P.S. Kung

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A geometric lattice G is said to be modularly complemented if for every point in G, there exists a modular copoint not containing it. We prove that a connected modularly complemented geometric lattice of rank at least four is either a Dowling lattice or the lattice of flats of a projective geometry with some of its points deleted.

Original languageEnglish (US)
Pages (from-to)243-248
Number of pages6
JournalEuropean Journal of Combinatorics
Issue number3
StatePublished - 1986

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


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