Rigid cyclic subgroups in Chevalley groups. I

DOI10.1016/0021-8693(90)90203-ZzbMath0727.20035MaRDI QIDQ803285

No author found.

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

finite simple groupsChevalley groupmaximal toriquasisimple grouproot latticesroot groupsconnected reductive almost simple algebraic groupscyclic r-subgrouplattice of overgroupsovergroups of rigid r-subgroupsregular semisimple elements

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representation theory for linear algebraic groups (20G05) Series and lattices of subgroups (20D30) Simple groups: alternating groups and groups of Lie type (20D06) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

• The root subgroups for maximal tori in finite groups of Lie type
• Regular elements of finite reflection groups
• Roots and maximal tori in finite forms of semisimpl e algebraic groups
• Endomorphisms of linear algebraic groups
• Differential Equations Invariant Under Finite Reflection Groups
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