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Algebra and Discrete Mathematics, 2003, выпуск 3, страницы 54–81
(Mi adm384)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Gyrogroups and left gyrogroups as transversals of a special kind
Eugene Kuznetsov Institute of Mathematics and Computer
Science, Academy of Sciences of Moldova,
str., Academiei, 5, MD–2028, Chishinau,
MOLDOVA
Аннотация:
In this article we study gyrogroups and left gyrogroups as transversals in some suitable groups to its subgroups. These objects were introduced into consideration in a connection with an investigation of analogies between symmetries in the classical mechanics and in the relativistic one. The author introduce some new notions into consideration (for example, a weak gyrotransversal) and give a full description of left gyrogroups (and gyrogroups) in terms of transversal identities. Also he generalize a construction of a diagonal transversal and obtain a set of new examples of left gyrogroups.
Ключевые слова:
loop, group, transversal, automorphism, gyrogroup.
Поступила в редакцию: 15.06.2003 Исправленный вариант: 04.11.2003
Образец цитирования:
Eugene Kuznetsov, “Gyrogroups and left gyrogroups as transversals of a special kind”, Algebra Discrete Math., 2003, no. 3, 54–81
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm384 https://www.mathnet.ru/rus/adm/y2003/i3/p54
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Страница аннотации: | 96 | PDF полного текста: | 97 | Первая страница: | 1 |
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