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.
โฆ LIBER โฆ
On semifield planes of order 162
โ Scribed by N. D. Podufalov; B. K. Durakov; O. V. Kravtsova; E. B. Durakov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1996
- Tongue
- English
- Weight
- 400 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
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## 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**(