Bruhat decomposition for carpet subgroups of Chevalley groups over fields

DOI10.1007/s10469-021-09658-4OpenAlexW4200598754MaRDI QIDQ2066101

Alexei Stepanov, Ya. N. Nuzhin

Publication date: 13 January 2022

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-021-09658-4

zbMATH Keywords

Chevalley groupBruhat decompositioncarpet subgroup

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Group theory and generalizations (20-XX)

Related Items

Defining relations for the carpet subgroups of Chevalley groups over fields

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.
• Groups contained between groups of Lie type over various fields
• Generating sets of root elements of Chevalley groups over a field
• Subgroups, of Chevalley groups over a locally finite field, defined by a family of additive subgroups
• Levi decomposition for carpet subgroups of Chevalley groups over a field
• Lectures on Chevalley Groups
• Introduction to Algebraic K-Theory. (AM-72)
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