Journal of Siberian Federal University. Mathematics & Physics / Irreducible Carpets of Additive Subgroups of Type G2 Over a Field of Characteristic 0

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (5)
Authors
Nuzhin, Yakov N.; Troyanskaya, Elizaveta N.
Contact information
Nuzhin, Yakov N.: Siberian Federal University Krasnoyarsk, Russian Federation; ; Troyanskaya, Elizaveta N.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
Chevalley group; carpet of additive subgroups; carpet subgroup
Abstract

It is proved that any irreducible carpet of type G2 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 G2 over an intermediate subfield between R and F

Pages
610–614
DOI
10.17516/1997-1397-2022-15-5-610-614
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/148521