On the irreducible carpets of additive subgroups of type \(F_4 \)

DOI10.1134/s0037446623060198zbMath1529.20086OpenAlexW4389379345MaRDI QIDQ6179780

A. O. Likhacheva

Publication date: 18 December 2023

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

Full work available at URL: https://doi.org/10.1134/s0037446623060198

zbMATH Keywords

root systemChevalley groupcarpet of additive subgroupscarpet subgroup

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Root systems (17B22) Structure theory for linear algebraic groups (20G07)

Cites Work

• Intermediate subgroups in the Chevalley groups of type \(B_l\), \(C_l\), \(F_4\), and \(G_2\) over the nonperfect fields of characteristic 2 and 3.
• Generating sets of root elements of Chevalley groups over a field
• Parabolic subgroups of certain ABA-groups
• 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 \(k\)
• Unnamed Item

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