FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 1, PAGES 155-168

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

V. M. Levchuk

G. S. Suleimanova

Abstract

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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.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k111/k11109h.htm

Last modified: January 31, 2012