The Width of Extraspecial Unipotent Radical with Respect to a Set of Root Elements

Let G = G (Φ, K ) be a Chevalley group of type Φ over a field K, where Φ is a simply laced root system. By studying the extraspecial unipotent radical of G , it is proved that any its element is a product of at most three root elements. Moreover, it is shown that up to conjugation by an element of t...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-12, Vol.219 (4), p.598-603
Main Author: Pevzner, I. M.
Format: Article
Language:English
Subjects:
Conjugation
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Let G = G (Φ, K ) be a Chevalley group of type Φ over a field K, where Φ is a simply laced root system. By studying the extraspecial unipotent radical of G , it is proved that any its element is a product of at most three root elements. Moreover, it is shown that up to conjugation by an element of the Levi subgroup, any element of the radical is the product of six elementary root elements.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3130-5