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 autho...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2003 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155728 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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.
|
|---|---|
| ISSN: | 1726-3255 |