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8 semifield planes of order 82

โœ Scribed by Haoru Huang; N.L. Johnson


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
523 KB
Volume
80
Category
Article
ISSN
0012-365X

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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


On semifield planes of order 162
โœ N. D. Podufalov; B. K. Durakov; O. V. Kravtsova; E. B. Durakov ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 400 KB
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**(