Nuzhin, Yakov N.; Troyanskaya, Elizaveta N. Irreducible carpets of additive subgroups of type \(G_2\) over a field of characteristic 0. (English) Zbl 07624297 J. Sib. Fed. Univ., Math. Phys. 15, No. 5, 610-614 (2022). MSC: 20Exx Structure and classification of infinite or finite groups 20Hxx Other groups of matrices 20Gxx Linear algebraic groups and related topics Keywords:Chevalley group; carpet of additive subgroups; carpet subgroup PDF BibTeX XML Cite \textit{Y. N. Nuzhin} and \textit{E. N. Troyanskaya}, J. Sib. Fed. Univ., Math. Phys. 15, No. 5, 610--614 (2022; Zbl 07624297) Full Text: MNR References: [1] V.M. Levchuk, “Parabolic subgroups of certain ABA-groups”, Mathematical Notes, 31:4 (1982), 509-525 · Zbl 0489.20041 [2] V. D. Mazurov, E. I. Khukhro (eds.), The Kourovka notebook: Unsolved Problems in Group Theory, 19, Sobolev Institute of Mathematics, Novosibirsk, 2018 · Zbl 1211.20001 [3] V.M. Levchuk, “On generating sets of root elements of Chevalley groups over a field”, Algebra i Logika, 22:5 (1983), 504-517 (in Russian) · Zbl 0668.20037 [4] S.K. Franchuk, “On irreducible carpets of additive subgroups of type \(G_2\) over fields of characteristic \(p>0\)”, Vladikavkaz. Matem. J., 22:1 (2020), 78-84 (in Russian) · Zbl 1463.22006 [5] R. Carter, Simple groups of lie type, Wiley and Sons, London-New York-Sydney-Toronto, 1972 · Zbl 0248.20015 [6] V.A. Koibaev, S.K. Kuklina, A.O. Likhacheva, Ya.N. Nuzhin, “Subgroups, of Chevalley Groups over a Locally Finite Field, Defined by a Family of Additive Subgroups”, Math. Notes, 102:6 (2017), 792-798 · Zbl 1387.20038 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.