k-invariant nets over an algebraic extension of a field k
- Authors: Koibaev V.A.1, Nuzhin Y.N.2
-
Affiliations:
- Southern Mathematical Institute
- Siberian Federal University
- Issue: Vol 58, No 1 (2017)
- Pages: 109-112
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170962
- DOI: https://doi.org/10.1134/S0037446617010141
- ID: 170962
Cite item
Abstract
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.
About the authors
V. A. Koibaev
Southern Mathematical Institute
Author for correspondence.
Email: koibaev-K1@yandex.ru
Russian Federation, Vladikavkaz
Ya. N. Nuzhin
Siberian Federal University
Email: koibaev-K1@yandex.ru
Russian Federation, Krasnoyarsk