Finite Doubly Transitive Affine Planes
β Scribed by Vikram Jha; Norman L. Johnson
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 140 KB
- Volume
- 83
- Category
- Article
- ISSN
- 0097-3165
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β¦ Synopsis
In this article, we classify the finite affine planes admitting doubly transitive collineation groups.
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
For any odd prime power q, all (q 2 &q+1)th roots of unity clearly lie in the extension field F q 6 of the Galois field F q of q elements. It is easily shown that none of these roots of unity have trace &2, and the only such roots of trace &3 must be primitive cube roots of unity which do not belong