Subgroups of exceptional groups of Lie type generated by long root elements. I. Odd characteristic

DOI10.1016/0021-8693(81)90259-3zbMath0463.20014OpenAlexW4212835291WikidataQ115367195 ScholiaQ115367195MaRDI QIDQ1153431

Bruce N. Cooperstein

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90259-3

zbMATH Keywords

exceptional group of Lie typelong root subgrouproot elementsWeyl rank

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Related Items (6)

Primitive permutation groups of odd degree, and an application to finite projective planes ⋮ Reduction theorems for triples of short root subgroups in Chevalley groups ⋮ Generating sets of root elements of Chevalley groups over a field ⋮ Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights ⋮ Finite groups ⋮ Probabilistic generation of finite simple groups

Cites Work

• The geometry of root subgroups in exceptional groups. II
• The geometry of root subgroups in exceptional groups. I
• Groups generated by root-involutions. I
• A characterization of some Lie incidence structures
• A characterization of Chevalley groups over fields of odd order. I, II
• On finite groups generated by odd transpositions. IV
• Finite groups generated by 3-transpositions. I
• Involutions in Chevalley groups over fields of even order
• Subgroups of Classical Groups Generated by Long Root Elements
• Central extensions of groups of Lie type.

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