The arrangement of long and short root subgroups in a Chevalley group of type \(G_2\).

DOI10.1023/A:1023419230216zbMath1069.20035MaRDI QIDQ1780434

V. V. Nesterov

Publication date: 8 June 2005

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

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 (5)

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 $\mathrm {GL}_n$ ⋮ Subsystem subgroups of the group of type $\mathrm {F}_4$ generated by short root subgroups ⋮ Generation of pairs of short root subgroups in Chevalley groups ⋮ Long root tori in Chevalley groups

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