Generation of pairs of short root subgroups in chevalley groups

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Department of Algebra and Number Theory

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Cite this

DOI

https://doi.org/10.1090/S1061-0022-05-00890-3
Final published version

V. Nesterov

On the basis of the Bruhat decomposition, the subgroups generated by pairs of unipotent short root subgroups in Chevalley groups of type B_ℓ, C_ℓ, and F₄ over an arbitrary field are described. Moreover, the orbits of a Chevalley group acting by conjugation on such pairs are classified.

Original language	English
Pages (from-to)	1051-1077
Number of pages	27
Journal	St. Petersburg Mathematical Journal
Volume	16
Issue number	6
DOIs	https://doi.org/10.1090/S1061-0022-05-00890-3
State	Published - 1 Jan 2005

Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

Research areas

Bruhat decomposition, Chevalley group, Unipotent short root subgroups

ID: 36692166