Title of article
Engel subgroups of triangular matrices over local rings
Author/Authors
M. Dokuchaev، نويسنده , , O. V. Kirichenko، نويسنده , , C. Polcino Milies، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
14
From page
433
To page
446
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.
Keywords
Triangular matrix group , Nilpotent subgroup , Engel subgroup
Journal title
Journal of Algebra
Serial Year
2005
Journal title
Journal of Algebra
Record number
697207
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