Generation of pairs of short root subgroups in Chevalley groups

DOI10.1090/S1061-0022-05-00890-3zbMath1096.20039MaRDI QIDQ3376468

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Publication date: 23 March 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Bruhat decompositionsroot subgroupssimply connected Chevalley groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05)

Related Items (4)

Reduction theorems for triples of short root subgroups in Chevalley groups ⋮ On the normalizer of a unipotent root subgroup in a Chevalley group ⋮ Overgroups of root groups in classical groups ⋮ Subsystem subgroups of the group of type $\mathrm {F}_4$ generated by short root subgroups

Cites Work

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• The geometry of root subgroups in exceptional groups. II
• Groups generated by k-transvections
• Subgroups of exceptional groups of Lie type generated by long root elements. II. Characteristic two
• Groups generated by \(k\)-root subgroups
• Groups generated by root-involutions. I
• Irreducible subgroups of orthogonal groups generated by groups of root type 1
• Irreducible groups generated by transvections over finite fields of characteristic two
• Subgroups of the group \(E_6(q)\) which are generated by root subgroups
• Subgroups generated by root elements in groups of Lie type
• Some subgroups of \(\Omega\)(V) generated by groups of root type
• Pairs of short root subgroups in the Chevalley group of type \(G_2\).
• The arrangement of long and short root subgroups in a Chevalley group of type \(G_2\).
• Groups generated by elations
• Some subgroups of \(SI_ n(F_2)\)
• Some groups generated by transvections
• Some subgroups of \(\Omega (V)\) generated by groups of root type 1
• Orbits Under Symplectic Transvections I
• Maximal subgroups containing short-root subgroups inPSp(2n, F)
• Involutions in Chevalley groups over fields of even order
• Subgroups of Classical Groups Generated by Long Root Elements
• (2,3)-Generation of sl(n,q). II. cases n ≥ 8

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