论文信息 - A Classification of Modularly Complemented Geometric Lattices

A Classification of Modularly Complemented Geometric Lattices

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.

Joseph P. S. Kung | Jeff Kahn | J. Kahn | J. Kung

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