Defining relations for the carpet subgroups of Chevalley groups over fields

DOI10.1134/S0037446622050111OpenAlexW4300594531MaRDI QIDQ2088630

Ya. N. Nuzhin

Publication date: 6 October 2022

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

Full work available at URL: https://doi.org/10.1134/s0037446622050111

zbMATH Keywords

Chevalley groupdefining relationsintermediate subgroupscarpet of additive subgroupscarpet subgroup

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Linear algebraic groups and related topics (20Gxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

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• 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
• Parabolic subgroups of certain ABA-groups
• Bruhat decomposition for carpet subgroups of Chevalley groups over fields
• Levi decomposition for carpet subgroups of Chevalley groups over a field
• Subgroups of Chevalley groups of types $B_l$ and $C_l$ containing the group over a subring, and corresponding carpets

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