Email this article Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
- Authors: Koibaev V.A.1,2, Kuklina S.K.3, Likhacheva A.O.3, Nuzhin Y.N.3
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Affiliations:
- North Ossetian State University after Kosta Levanovich Khetagurov
- Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
- Siberian Federal University
- Issue: Vol 102, No 5-6 (2017)
- Pages: 792-798
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150344
- DOI: https://doi.org/10.1134/S0001434617110190
- ID: 150344
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Abstract
It is proved that every elementary carpet of nonzero additive subgroups which is associated with a Chevalley group of a Lie rank exceeding one over a locally finite field coincides, up to conjugation by a diagonal element, with a carpetwhose additive subgroups are equal to some chosen subfield of the ground field. A similar result is obtained for a full matrix carpet (a full net).
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About the authors
V. A. Koibaev
North Ossetian State University after Kosta Levanovich Khetagurov; Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
Author for correspondence.
Email: koibaev-K1@yandex.ru
Russian Federation, Vladikavkaz; Vladikavkaz
S. K. Kuklina
Siberian Federal University
Email: koibaev-K1@yandex.ru
Russian Federation, Krasnoyarsk
A. O. Likhacheva
Siberian Federal University
Email: koibaev-K1@yandex.ru
Russian Federation, Krasnoyarsk
Ya. N. Nuzhin
Siberian Federal University
Email: koibaev-K1@yandex.ru
Russian Federation, Krasnoyarsk
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