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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2012 Volume 17, Issue 1, Pages 155–168 (Mi fpm1394)

This article is cited in 2 papers

The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups

V. M. Levchuka, G. S. Suleimanovab

a Siberian Federal University, Krasnoyarsk
b Khakas Technical Institute, Siberian Federal University, Abakan

Abstract: We study the normal structure of the unipotent radical $U$ of a Borel subgroup in a Lie type group over a field $K$. Thus, all maximal Abelian normal subgroups in $U$ are described. This gives a new solution of C. Parker and P. Rowley's problem about extremal subgroups in $U$ and the description in finite groups $U$ of the large normal (and, as proved, also normal large) Abelian subgroups.

UDC: 512.5


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:3, 448–457

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