Width of groups of type E6 with respect to root elements. II

The simply connected and adjoint groups of type E 6 over fields are considered. Let K be a field such that every polynomial of degree at most 6 has a root in K . We prove that every element of the adjoint group of type E 6 over K can be written as a product of at most seven root elements. Bibliograp...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2012-01, Vol.180 (3), p.338-350
Main Author: Pevzner, I. M.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The simply connected and adjoint groups of type E 6 over fields are considered. Let K be a field such that every polynomial of degree at most 6 has a root in K . We prove that every element of the adjoint group of type E 6 over K can be written as a product of at most seven root elements. Bibliography: 59 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0647-5