On Orbits of the Ring Zmn under Action of the Group SL(m, Zn)
We consider the action of the finite matrix group SL(m,Z<sub>n</sub> ) on the ring Z<sup>m</sup><sub>n</sub>. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A. A. Kirillov for m = 2 and n...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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CTU Central Library
2005-01-01
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| Series: | Acta Polytechnica |
| Subjects: | |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/768 |
| _version_ | 1818438188945899520 |
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| author | P. Novotný J. Hrivnák |
| author_facet | P. Novotný J. Hrivnák |
| author_sort | P. Novotný |
| collection | DOAJ |
| description | We consider the action of the finite matrix group SL(m,Z<sub>n</sub> ) on the ring Z<sup>m</sup><sub>n</sub>. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A. A. Kirillov for m = 2 and n prime number. |
| first_indexed | 2024-12-14T17:36:36Z |
| format | Article |
| id | doaj.art-1689ecf2aefd43fb87d97a332d61ceaa |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-14T17:36:36Z |
| publishDate | 2005-01-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-1689ecf2aefd43fb87d97a332d61ceaa2022-12-21T22:52:57ZengCTU Central LibraryActa Polytechnica1210-27091805-23632005-01-01455768On Orbits of the Ring Zmn under Action of the Group SL(m, Zn)P. NovotnýJ. HrivnákWe consider the action of the finite matrix group SL(m,Z<sub>n</sub> ) on the ring Z<sup>m</sup><sub>n</sub>. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A. A. Kirillov for m = 2 and n prime number.https://ojs.cvut.cz/ojs/index.php/ap/article/view/768ringfinite group |
| spellingShingle | P. Novotný J. Hrivnák On Orbits of the Ring Zmn under Action of the Group SL(m, Zn) Acta Polytechnica ring finite group |
| title | On Orbits of the Ring Zmn under Action of the Group SL(m, Zn) |
| title_full | On Orbits of the Ring Zmn under Action of the Group SL(m, Zn) |
| title_fullStr | On Orbits of the Ring Zmn under Action of the Group SL(m, Zn) |
| title_full_unstemmed | On Orbits of the Ring Zmn under Action of the Group SL(m, Zn) |
| title_short | On Orbits of the Ring Zmn under Action of the Group SL(m, Zn) |
| title_sort | on orbits of the ring zmn under action of the group sl m zn |
| topic | ring finite group |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/768 |
| work_keys_str_mv | AT pnovotny onorbitsoftheringzmnunderactionofthegroupslmzn AT jhrivnak onorbitsoftheringzmnunderactionofthegroupslmzn |