On irreducible carpets of additive subgroups of type \(G_2\)

DOI10.26516/1997-7670.2019.27.80OpenAlexW2924257596MaRDI QIDQ2272881

Svetlana Konstantinovna Franchuk

Publication date: 17 September 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1293

zbMATH Keywords

root systemChevalley groupcarpet of additive subgroupscarpet subgroupirreducible carpet

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items

On Irreducible Carpets of Additive Subgroups of Type G_2 Over Fields of Characteristic p>0

Cites Work

• Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
• \(k\)-invariant nets over an algebraic extension of a field \(k\)
• Levi decomposition for carpet subgroups of Chevalley groups over a field
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