شماره ركورد كنفرانس :
3503
عنوان مقاله :
The Lie Engel property in group algebras
پديدآورندگان :
M. Ramezan-Nassab Kharazmi University
Author/Authors :
M. Ramezan-Nassab Kharazmi University
كليدواژه :
Lie Engel ring , Group algebra , Engel group
سال انتشار :
شهريور 1395
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
زبان مدرك :
انگليسي
چكيده لاتين :
Let F be a field and G any group. Denote the group of units of the group algebra FG by U(FG). In this talk, the Lie Engel property of the group algebra FG is investigated. It is known that if G is a torsion group, then FG is a bounded Lie Engel ring if and only if U(FG) is a bounded Engel group. Here, in particular, we show that if G is locally finite, then FG is a Lie Engel ring if and only if U(FG) is an Engel group. Further, if the characteristic of F is zero and U(FG) is Engel-by-finite, then we show that G is abelian
كشور :
ايران
تعداد صفحه 2 :
3
از صفحه :
1
تا صفحه :
3
لينک به اين مدرک :
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