FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 7, PAGES 205-216

On a conjugacy in a Chevalley group of large Abelian subgroups of the unipotent subgroup

G. S. Suleimanova

Abstract

View as HTML     View as gif image

Let U be the unipotent subgroup of a Chevalley group over a finite field. The well-known problem about describing the set of "large" (of maximal order) Abelian subgroups in U of exceptional type is investigated. The description of normal large Abelian subgroups in U was established earlier. It is proved that each large Abelian subgroup from U is conjugate in the Chevalley group of type F4 over a finite field of characteristic not equal to 2 to a normal subgroup in U. It is shown that for the groups U of type G2 and 3D4 the similar conclusion is not true.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k09/k097/k09710h.htm
Last modified: April 18, 2010