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...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152348 |
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| 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. |