On extraction of transvections in overgroups of a non-split maximal torus

Dzhusoeva, N. A.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 1.

Abstract:
Let \(E(\sigma_{A})\) be a subgroup generated by all transvections of the net group \(G(\sigma_{A})\). Then \(TE(\sigma_{A})\) is also a group generated by the torus and the root subgroup items in the first column of the elementary group \(E(\sigma_{A})\).

Keywords: overgroups, intermediate subgroups, elementary group, non-split maximal torus, transvection

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