On Pairs of Additive Subgroups Associated with Intermediate Subgroups of Groups of Lie Type over Nonperfect Fields

DOI10.17516/1997-1397-2021-14-5-604-610zbMath1492.20003OpenAlexW4205453852MaRDI QIDQ5071392

Ya. N. Nuzhin

Publication date: 21 April 2022

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu946

zbMATH Keywords

groups of Lie typeintermediate subgroupscarpet of additive subgroupsnonperfect field

Mathematics Subject Classification ID

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

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.
• Free product subgroups between Chevalley groups \(G(\Phi,F)\) and \(G(\Phi,F[t)\).]
• Groups contained between groups of Lie type over various fields
• Subgroups of Chevalley groups of types $B_l$ and $C_l$ containing the group over a subring, and corresponding carpets

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