Generation of pairs of short root subgroups in Chevalley groups

Nesterov, V.

doi:10.1090/S1061-0022-05-00890-3

Generation of pairs of short root subgroups in Chevalley groups
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by V. Nesterov
Translated by: the author

St. Petersburg Math. J. 16 (2005), 1051-1077

DOI: https://doi.org/10.1090/S1061-0022-05-00890-3

Published electronically: November 22, 2005

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Abstract:

On the basis of the Bruhat decomposition, the subgroups generated by pairs of unipotent short root subgroups in Chevalley groups of type $\mathrm {B}_{\ell }$, $\mathrm {C}_{\ell }$, and $\mathrm {F}_4$ over an arbitrary field are described. Moreover, the orbits of a Chevalley group acting by conjugation on such pairs are classified.

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