On some linear groups, having a big family of G-invariant subspaces
Vernadsky National Library of Ukraine
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Title |
On some linear groups, having a big family of G-invariant subspaces
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Creator |
Kurdachenko, L.A.
Sadovnichenko, A.V. |
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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.
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Date |
2019-06-10T11:02:31Z
2019-06-10T11:02:31Z 2013 |
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Type |
Article
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Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/152348 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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