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10

DM
2006

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Extending a matroid by a cocircuit

13 years 5 months ago

Extending a matroid by a cocircuit

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Our main result describes how to extend a matroid so that its ground set is a modular hyperplane of the larger matroid. This result yields a new way to view Dowling lattices and new results about line-closed geometries. We complement these topics by showing that line-closure gives simple geometric proofs of the (mostly known) basic results about Dowling lattices. We pursue the topic of line-closure further by showing how to construct some line-closed geometries that are not supersolvable.

Joseph E. Bonin

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DM 2006 | Larger Matroid | Matroid | Simple Geometric Proofs |

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Added	11 Dec 2010
Updated	11 Dec 2010
Type	Journal
Year	2006
Where	DM
Authors	Joseph E. Bonin

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