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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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Bibliographic Details
Main Authors: Kurdachenko, L.A., Sadovnichenko, A.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2013
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152348
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