Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493134 | Journal of Algebra | 2005 | 14 Pages |
Abstract
We consider Engel subgroups of the group T(n,R) of upper triangular matrices over a local ring R which satisfies a weak commutativity condition. If, in addition, R is artinian then we give a complete description of the maximal Engel subgroups of T(n,R) up to conjugacy. These subgroups turn out to be nilpotent and we study their nilpotency class.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Dokuchaev, V. Kirichenko, C. Polcino Milies,