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Pairs of short root subgroups in the Chevalley group of type \(G_2\).

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Publication:1780410
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DOI10.1023/B:JOTH.0000017893.66315.bazbMath1078.20048MaRDI QIDQ1780410

V. V. Nesterov

Publication date: 8 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

orbitsChevalley groupsactionspairs of unipotent short root subgroups


Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05)


Related Items (5)

Geometry of root elements in groups of type $\mathrm E_{6}$ ⋮ On subgroups of the group \(GL_7\) over a field that contain a Chevalley group of type \(G_2\) over a subfield. ⋮ Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ Generation of pairs of short root subgroups in Chevalley groups ⋮ Long root tori in Chevalley groups






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