This article is cited in 1 paper

Irreducible carpets of additive subgroups of type $G_2$ over a field of characteristic $0$

Yakov N. Nuzhin, Elizaveta N. Troyanskaya

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: It is proved that any irreducible carpet of type $G_2$ over a field $F$ of characteristic $0$, at least one additive subgroup of which is an $R$-module, where $F$ is an algebraic extension of the field $R$, up to conjugation by a diagonal element defines a Chevalley group of type $G_2$ over an intermediate subfield between $R$ and $F$.

Keywords: Chevalley group, carpet of additive subgroups, carpet subgroup.

UDC: 512.54

Received: 08.02.2022
Received in revised form: 23.04.2022
Accepted: 27.06.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-5-610-614

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