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періодичних видань НАН України
On some linear groups, having a big family of G-invariant subspaces
Репозиторій DSpace/Manakin
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On some linear groups, having a big family of G-invariant subspaces
Інший ID:
2010 MSC:15A03, 20F16, 20F29.
Посилання:
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.
Дата:
2013
Переглядів:
436
Завантажень:
113
Анотація:
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 situation when every subspace of A is nearly G-invariant.
