Point homogeneous flat affine planes
β Scribed by Hansjoachim Groh
- Book ID
- 112651451
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 690 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0047-2468
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π SIMILAR VOLUMES
## Abstract We study arcβtransitive homogeneous factorizations of a complete graph on 81 vertices and give an almost complete description of all possible factors that arise. In particular, we show that there exists an arcβtransitive homogeneous factorization of __K__~81~ such that the factors are i
Let r be a rank 3 incidence geometry of points, lines and planes. This paper classifies all finite geometries r whose planes are affine, whose point residues are dual affine and which satisfy Condition 1: any two points of r are incident with at most one line. Such a geometry is necessarily isomorph