8 semifield planes of order 82
โ Scribed by Haoru Huang; N.L. Johnson
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 523 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this article, the translation planes of order 64 and kernel containing GF(8) that admit a collineation group of order 2.64 in the linear translation complement are completely determined. There are eight mutually nonisomorphic planes all of which are semifield planes.
๐ SIMILAR VOLUMES
## Abstract We prove that semifield planes ฯ(๐~2__m__~) coordinatized by the commutative binary Knuth semifield ๐~2__m__~, **__m__**=**__nk__** (**__m__** odd) are fractional dimensional with respect to a subplane isomorphic to **__PG__**(**2**, **4**) if either **__n__**=**9** or **__n__**โก\**0**(