Subgroups of exceptional groups of Lie type generated by long root elements. II. Characteristic two

DOI10.1016/0021-8693(81)90260-XzbMath0463.20015WikidataQ115367193 ScholiaQ115367193MaRDI QIDQ1153432

Bruce N. Cooperstein

Publication date: 1981

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

zbMATH Keywords

exceptional group of Lie typeWeyl rankgroups generated by root involutionssubgroups generated by long root elements

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

Geometry of root elements in groups of type $\mathrm E_{6}$, Generation of finite almost simple groups by conjugates., Constructive recognition of \(\text{SL}_3(q)\)., Subgroups of simple algebraic groups containing regular tori, and irreducible representations with multiplicity 1 non-zero weights, Geometry of 1-tori in $\mathrm {GL}_n$, Generation of pairs of short root subgroups in Chevalley groups, Products of conjugacy classes and fixed point spaces, Groups of Lie type generated by long root elements in \(F_4(K)\).

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