k-invariant nets over an algebraic extension of a field k
- Autores: Koibaev V.1, Nuzhin Y.2
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Afiliações:
- Southern Mathematical Institute
- Siberian Federal University
- Edição: Volume 58, Nº 1 (2017)
- Páginas: 109-112
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170962
- DOI: https://doi.org/10.1134/S0037446617010141
- ID: 170962
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Resumo
Let K be an algebraic extension of a field k, let σ = (σij) be an irreducible full (elementary) net of order n ≥ 2 (respectively, n ≥ 3) over K, while the additive subgroups σij are k-subspaces of K. We prove that all σij coincide with an intermediate subfield P, k ⊆ P ⊆ K, up to conjugation by a diagonal matrix.
Sobre autores
V. Koibaev
Southern Mathematical Institute
Autor responsável pela correspondência
Email: koibaev-K1@yandex.ru
Rússia, Vladikavkaz
Ya. Nuzhin
Siberian Federal University
Email: koibaev-K1@yandex.ru
Rússia, Krasnoyarsk
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