Gyrogroups and left gyrogroups as transversals of a special kind
Vernadsky National Library of Ukraine
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Title |
Gyrogroups and left gyrogroups as transversals of a special kind
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Creator |
Kuznetsov, E.
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Description |
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. |
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Date |
2019-06-17T11:22:33Z
2019-06-17T11:22:33Z 2003 |
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Type |
Article
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Identifier |
Gyrogroups and left gyrogroups as transversals of a special kind / E. Kuznetsov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 3. — С. 53–81. — Бібліогр.: 15 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 20N05, 20N15. http://dspace.nbuv.gov.ua/handle/123456789/155728 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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