The normalizer of the elementary net group associated with a nonsplit torus in the general linear group over a field.

DOI10.1007/s10958-015-2511-5zbMath1323.20038OpenAlexW1179086174MaRDI QIDQ499385

Yong-Cai Geng, Sumit K. Garg

Publication date: 30 September 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2511-5

zbMATH Keywords

general linear groupsnormalizersnet subgroupsnonsplit maximal tori

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

• The root subgroups for maximal tori in finite groups of Lie type
• Subgroups of finite groups of Lie type
• Linear groups containing a Singer cycle
• The subgroups of the group \(\text{GL}(2,k)\) that contain a nonsplit maximal torus
• Transvections in subgroups of the general linear group containing a nonsplit maximal torus
• Subgroups of Compact Lie Groups Containing a Maximal Torus are Closed
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