Problems on Structure of Finite Quasifields and Projective Translation Planes
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URI (для ссылок/цитирований):
https://link.springer.com/article/10.1134/S1995080217040138https://elib.sfu-kras.ru/handle/2311/69893
Автор:
Левчук, Владимир Михайлович
Кравцова, Ольга Вадимовна
Коллективный автор:
Институт математики и фундаментальной информатики
Кафедра алгебры и математической логики
Кафедра высшей математики № 2
Дата:
2017-07Журнал:
Lobachevskii Journal of MathematicsКвартиль журнала в Scopus:
Q3Квартиль журнала в Web of Science:
без квартиляБиблиографическое описание:
Левчук, Владимир Михайлович. Problems on Structure of Finite Quasifields and Projective Translation Planes [Текст] / Владимир Михайлович Левчук, Ольга Вадимовна Кравцова // Lobachevskii Journal of Mathematics. — 2017. — Т. 38 (№ 4). — С. 688-698Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.
Аннотация:
It is well-known that the constructions and classification of non-Desarguesian projective planes are closely connected with ones for quasifields. We consider the problems on structure
of finite quasifields and semifields: automorphisms and autotopisms, maximal subfields and their orders, the spectrum of orders of non-zero elements and hypotheses about generated subsets of the multiplicative loop.
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