On some linear groups, having a big family of G-invariant subspaces
Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called nearly G-invariant, if dimF(BFG/B) is finite. In this paper we described the situa...
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152348 |
| 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: | On some linear groups, having a big family of G-invariant subspaces / L.A. Kurdachenko, A.V. Sadovnichenko // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 217–225. — Бібліогр.: 11 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716493264846848 |
|---|---|
| author | Kurdachenko, L.A. Sadovnichenko, A.V. |
| author_facet | Kurdachenko, L.A. Sadovnichenko, A.V. |
| citation_txt | On some linear groups, having a big family of G-invariant subspaces / L.A. Kurdachenko, A.V. Sadovnichenko // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 217–225. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called nearly G-invariant, if dimF(BFG/B) is finite. In this paper we described the situation when every subspace of A is nearly G-invariant.
|
| first_indexed | 2025-12-07T18:05:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152348 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:05:37Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kurdachenko, L.A. Sadovnichenko, A.V. 2019-06-10T11:02:31Z 2019-06-10T11:02:31Z 2013 On some linear groups, having a big family of G-invariant subspaces / L.A. Kurdachenko, A.V. Sadovnichenko // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 217–225. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC:15A03, 20F16, 20F29. https://nasplib.isofts.kiev.ua/handle/123456789/152348 Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called nearly G-invariant, if dimF(BFG/B) is finite. In this paper we described the situation when every subspace of A is nearly G-invariant. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On some linear groups, having a big family of G-invariant subspaces Article published earlier |
| spellingShingle | On some linear groups, having a big family of G-invariant subspaces Kurdachenko, L.A. Sadovnichenko, A.V. |
| title | On some linear groups, having a big family of G-invariant subspaces |
| title_full | On some linear groups, having a big family of G-invariant subspaces |
| title_fullStr | On some linear groups, having a big family of G-invariant subspaces |
| title_full_unstemmed | On some linear groups, having a big family of G-invariant subspaces |
| title_short | On some linear groups, having a big family of G-invariant subspaces |
| title_sort | on some linear groups, having a big family of g-invariant subspaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152348 |
| work_keys_str_mv | AT kurdachenkola onsomelineargroupshavingabigfamilyofginvariantsubspaces AT sadovnichenkoav onsomelineargroupshavingabigfamilyofginvariantsubspaces |