Algebra Discrete Math., 2003, Issue 3, Pages 54–81
This article is cited in 1 scientific paper (total in 1 paper)
Gyrogroups and left gyrogroups as transversals of a special kind
Institute of Mathematics and Computer
Science, Academy of Sciences of Moldova,
str., Academiei, 5, MD–2028, Chishinau,
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.
loop, group, transversal, automorphism, gyrogroup.
PDF file (267 kB)
MSC: 20N05, 20N15
Eugene Kuznetsov, “Gyrogroups and left gyrogroups as transversals of a special kind”, Algebra Discrete Math., 2003, no. 3, 54–81
Citation in format AMSBIB
\paper Gyrogroups and left gyrogroups as transversals of a~special kind
\jour Algebra Discrete Math.
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