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On semifield planes of order 162

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


8 semifield planes of order 82
โœ Haoru Huang; N.L. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 523 KB

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.

Fractional dimension of binary Knuth sem
โœ Olga Polverino; Rocco Trombetti ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 147 KB

## 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__**โ‰ก\**0**(