Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2014

Ключевые слова: Multiplicative loop, Orders of elements, Projective translation plane, Quasifield, Semifield

Аннотация: Well-known method of the construction of finite projective translation planes (analogously, semifield planes) uses their correspondence with quasifields (resp., semifields). We distinguish certain questions on the structure of any finite quasifield (possible maximal subfields, the property of cyclicity of multiplicative loop of non-zero elements and possible orders of elements). In the present paper we discover some anomalous properties of finite quasifields of small even orders. © Siberian Federal University. All rights reserved.

Журнал: Journal of Siberian Federal University - Mathematics and Physics

Выпуск журнала: Vol. 7, Is. 3

Номера страниц: 362-372

• Levchuk V.M. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russian Federation)
• Shtukkert P.K. (Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russian Federation)

• Scopus