Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups

DOI10.1134/S0001434617110190zbMath1387.20038OpenAlexW2778636355MaRDI QIDQ1702487

Ya. N. Nuzhin, A. O. Likhacheva, S. K. Kuklina, V. A. Koibaev

Publication date: 28 February 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617110190

zbMATH Keywords

Chevalley groupcarpet subgroupelementary 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) Other matrix groups over rings (20H25)

Related Items (6)

On Irreducible Carpets of Additive Subgroups of Type $F_4$ ⋮ On the irreducible carpets of additive subgroups of type \(F_4 \) ⋮ Unnamed Item ⋮ On irreducible carpets of additive subgroups of type \(G_2\) ⋮ On Irreducible Carpets of Additive Subgroups of Type G_2 Over Fields of Characteristic p>0 ⋮ Bruhat decomposition for carpet subgroups of Chevalley groups over fields

Cites Work

• Generating sets of root elements of Chevalley groups over a field
• On parabolic subgroups of Chevalley groups over local rings
• Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring.
• Weight elements of Chevalley groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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