A classification of modularly complemented geometric lattices (Q1820165)
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scientific article; zbMATH DE number 3993604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A classification of modularly complemented geometric lattices |
scientific article; zbMATH DE number 3993604 |
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A classification of modularly complemented geometric lattices (English)
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1986
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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.
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geometric lattice
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Dowling lattice
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lattice of flats
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projective geometry
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