On some linear groups, having a big family of G-invariant subspaces

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

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...