Geodesic
Irreducible carpets of additive subgroups of type $G_2$ over a field of characteristic $0$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 610-614 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Yakov N. Nuzhin; Elizaveta N. Troyanskaya. Irreducible carpets of additive subgroups of type $G_2$ over a field of characteristic $0$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 5, pp. 610-614. http://geodesic.mathdoc.fr/item/JSFU_2022_15_5_a6/

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