The root subgroups for maximal tori in finite groups of Lie type

DOI10.2140/pjm.1983.106.153zbMath0522.20031OpenAlexW2044696874WikidataQ115230784 ScholiaQ115230784MaRDI QIDQ1055894

Gary M. Seitz

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.106.153

zbMATH Keywords

root systemgroups of Lie typemaximal torusroot subgroupsconnected simple algebraic groupproduct of quasisimple subnormal subgroupsproduct of root subgroups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40)

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Generators and relations for special linear algebras and groups ⋮ Transvections in subgroups of the general linear group containing a nonsplit maximal torus ⋮ Classifying the finite simple groups ⋮ Some simplifications in the proof of the Sims conjecture ⋮ Outer unipotent classes in automorphism groups of simple algebraic groups ⋮ Unipotent subgroups of groups of Lie type ⋮ Normalisers of maximal tori and a conjecture of Vdovin ⋮ On the lattice of subgroups of chevalley groups containing a split maximal torus ⋮ Generation of finite almost simple groups by conjugates. ⋮ Subgroups of a spinor group containing a maximal split torus. I ⋮ Subgroups of isotropic orthogonal groups containing the centralizer of a maximal split torus ⋮ On the cohomology of the finite Chevalley groups ⋮ The normalizer of the elementary net group associated with a nonsplit torus in the general linear group over a field. ⋮ Finite groups ⋮ On subgroups of the general linear group that contain a nonsplit maximal torus. ⋮ A solvable version of the Baer–Suzuki theorem ⋮ Signalizers and balance in groups of finite Morley rank. ⋮ On a conjecture of Quillen and a lemma of Robinson ⋮ A proof of Szep's conjecture on nonsimplicity of certain finite groups ⋮ Finite groups of Seitz type ⋮ Rigid cyclic subgroups in Chevalley groups. I

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