Geodesic
The structure of quasifields of small even orders
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 197-212 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study the structure of a finite quasifield: maximal subfields, the orders of nonzero elements of its multiplicative loop, and the conjecture that the multiplicative loop of any finite semifield is one-generated. We consider the structure of all semifields of order 16; the Knuth-Rua semifield of order 32, which disproves Wene's conjecture; and representatives of isotope classes of quasifields of orders 16 and 32.
Keywords: finite quasifield, maximal subfield, conjecture that the multiplicative loop of any finite semifield is one-generated.
Mots-clés : order of a nonzero element 
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V. M. Levchuk; P. K. Shtukkert. The structure of quasifields of small even orders. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 197-212. http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a21/

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