Bookcover of Dowling geometry
Booktitle:

Dowling geometry

Combinatorics, Mathematics, Projective geometry, Finite field, Vector space, Partially ordered set

Commun (2011-08-24 )

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ISBN-13:

978-613-6-78325-3

ISBN-10:
6136783258
EAN:
9786136783253
Book language:
English
Blurb/Shorttext:
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines the group. Dowling geometries have a role in matroid theory as universal objects (Kahn and Kung, 1982); in that respect they are analogous to projective geometries, but based on groups instead of fields like the latter. A Dowling lattice is the lattice of closed sets associated with a Dowling geometry. The lattice and the geometry are mathematically equivalent: knowing either one determines the other. Dowling lattices, and by implication Dowling geometries, were introduced by Dowling (1973a,b). A Dowling lattice or geometry of rank n of a group G is often denoted Qn(G).
Publishing house:
Commun
Website:
http://www.alphascript-publishing.com
Edited by:
Stefanu Elias Aloysius
Number of pages:
100
Published on:
2011-08-24
Stock:
Available
Category:
Arithmetic, Algebra
Price:
34.00 €
Keywords:
Combinatorics, Mathematics, Projective, geometry, Finite, Vector, vector

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