Name
Abstract | ||
|---|---|---|
Abstract Letq 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 mostn 2. In this paper, we show that, with the exception ofn = 3, a rank-n geometry that is representable over GF(3) and GF(q) and contains exactlyn 2 points is isomorphic to the rank-n Dowling geometry based on the multiplicative group of GF(3). |
Year | DOI | Venue |
|---|---|---|
1988 | 10.1007/BF01864171 | Graphs and Combinatorics |
Keywords | Field | DocType |
combinatorial geometry | Matroid,Discrete geometry,Discrete mathematics,Combinatorics,Multiplicative group,Isomorphism,Dowling geometry,GF(2),Prime power,Mathematics | Journal |
Volume | Issue | ISSN |
4 | 1 | 1435-5914 |
Citations | PageRank | References |
4 | 0.80 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joseph P. S. Kung | 1 | 78 | 20.60 |
| James Oxley | 2 | 397 | 57.57 |