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http://hdl.handle.net/123456789/67
Title: | Gyrogroups and left gyrogroups as transversals of a special kind |
Authors: | Kuznetsov, Eugene |
Issue Date: | 15-Jun-2003 |
Publisher: | Луганский национальный университет им. Т. Шевченко |
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 |
URI: | http://hdl.handle.net/123456789/67 |
Appears in Collections: | Статті |
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adm-n3-4.pdf | 240.99 kB | Adobe PDF | View/Open |
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