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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Date: | 2018 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Lugansk National Taras Shevchenko University
2018
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Subjects: | |
Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1158 |
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Journal Title: | Algebra and Discrete Mathematics |