Gyrogroups and left gyrogroups as transversals of a special kind
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...
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/964 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543280028712960 |
|---|---|
| author | Kuznetsov, Eugene |
| author_facet | Kuznetsov, Eugene |
| author_sort | Kuznetsov, Eugene |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-13T10:43:19Z |
| 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. |
| first_indexed | 2025-12-02T15:33:33Z |
| format | Article |
| id | admjournalluguniveduua-article-964 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:33:33Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9642018-05-13T10:43:19Z Gyrogroups and left gyrogroups as transversals of a special kind Kuznetsov, Eugene loop, group, transversal, automorphism, gyrogroup 20N05, 20N15 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. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/964 Algebra and Discrete Mathematics; Vol 2, No 3 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/964/493 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | loop group transversal automorphism gyrogroup 20N05 20N15 Kuznetsov, Eugene Gyrogroups and left gyrogroups as transversals of a special kind |
| title | Gyrogroups and left gyrogroups as transversals of a special kind |
| title_full | Gyrogroups and left gyrogroups as transversals of a special kind |
| title_fullStr | Gyrogroups and left gyrogroups as transversals of a special kind |
| title_full_unstemmed | Gyrogroups and left gyrogroups as transversals of a special kind |
| title_short | Gyrogroups and left gyrogroups as transversals of a special kind |
| title_sort | gyrogroups and left gyrogroups as transversals of a special kind |
| topic | loop group transversal automorphism gyrogroup 20N05 20N15 |
| topic_facet | loop group transversal automorphism gyrogroup 20N05 20N15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/964 |
| work_keys_str_mv | AT kuznetsoveugene gyrogroupsandleftgyrogroupsastransversalsofaspecialkind |