Title
Combinatorial geometries representable over GF(3) and GF(q). II. Dowling geometries
Document Type
Article
Publication Date
12-1-1988
Abstract
Let q be an odd prime power not divisible by 3. In Part I of this series, it was shown that the number of points in a rank-n combinatorial geometry (or simple matroid) representable over GF(3) and GF(q) is at most n2. In this paper, we show that, with the exception of n = 3, a rank-n geometry that is representable over GF(3) and GF(q) and contains exactly n2 points is isomorphic to the rank-n Dowling geometry based on the multiplicative group of GF(3). © 1988 Springer-Verlag.
Publication Source (Journal or Book title)
Graphs and Combinatorics
First Page
323
Last Page
332
Recommended Citation
Kung, J., & Oxley, J. (1988). Combinatorial geometries representable over GF(3) and GF(q). II. Dowling geometries. Graphs and Combinatorics, 4 (1), 323-332. https://doi.org/10.1007/BF01864171