Minimal non-orientable matroids in a projective plane (Q857425)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal non-orientable matroids in a projective plane |
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Minimal non-orientable matroids in a projective plane (English)
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14 December 2006
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A simple method is described which can be employed to construct some minimal non-orientable matroids. Among the matroids which this method yields are some which resolve a problem posed by \textit{G. M. Ziegler} [Geom. Dedicata 38, No.~3, 365--371 (1991; Zbl 0726.05026)]: For each finite field, find a minimal non-orientable matroid which can be realized as a submatroid of the projective plane over that field.
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oriented matroid
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non-orientable matroid
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projective plane
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pseudoline arrangement
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rank-3 matroid
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