This article is cited in 6 papers

Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups

V. A. Koibaev^ab, S. K. Kuklina^c, A. O. Likhacheva^c, Ya. N. Nuzhin<sup>c

a</sup> North Ossetian State University after Kosta Levanovich Khetagurov, Vladikavkaz
^b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
^c Siberian Federal University, Krasnoyarsk

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 carpet whose 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).

Keywords: elementary carpet, Chevalley group, carpet subgroup.

UDC: 519

Received: 07.12.2015
Revised: 07.06.2016

DOI: 10.4213/mzm11038

 English version: Mathematical Notes, 2017, 102:6, 792–798

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