Infinite dimensional linear groups with a spacious family of $G$-invariant subspaces

Let $F$ be a field, $A$ be a vector space over $F$, $GL (F, A)$ be the group of all automorphisms of the vector space $A$. If $B leq A$ then denote by $mathop{m Core}_G (B)$ the largest $G$-invariant subspace of~$B$. A subspace $B$ is called almost $G$-invariant if $mathop{m dim}_F (B/mathop{m Core}...

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Bibliographic Details
Main Author: A. V. Sadovnichenko
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2013-10-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/texts/2013/40_1/11-15.pdf
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