There are 398 nonisomorphic nontrivial linear spaces on 16 points having no lines of size two. In addition, there are 157,151 proper linear spaces on 17 points having one line of size five and 42 lines of size three. 0 1993 John Wiley & Sons, Inc. ## 1. BACKGROUND A linear space is a pair ( P , 2)
Orbits on points and lines in finite linear and quasilinear spaces
โ Scribed by Aart Blokhuis; Andries Brouwer; Ann Delandtsheer; Jean Doyen
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 241 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Batten, L.M., The nonexistence of finite linear spaces with v = n\* points and b = nz + n+ 2 lines, Discrete Mathematics 115 (1993) 11-15. We show that any finite linear space on u = n\* points and b = n2 + n + 2 lines has nd 4. We also describe all such spaces.
Batten, L.M., A characterization of finite linear spaces on v points, a2 10, Discrete Mathematics 118 (1993) 1-9. Characterizations of finite linear spaces on G' points, n\\* 10, then, if it is not a near-pencil, the space is an affine plane of order n less up to three points, with three additiona