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 \(dim_F(BFG...

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Datum:2018
Hauptverfasser: Kurdachenko, L. A., Sadovnichenko, A. V.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1158
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics