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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
 
Creator Kurdachenko, L.A.
Sadovnichenko, A.V.
 
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.
 
Date 2019-06-10T11:02:31Z
2019-06-10T11:02:31Z
2013
 
Type Article
 
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
 
Language en
 
Relation Algebra and Discrete Mathematics
 
Publisher Інститут прикладної математики і механіки НАН України