شماره ركورد كنفرانس :
4079
عنوان مقاله :
The Lie Engel property in group algebras
پديدآورندگان :
Ramezan-Nassab .M ramezann@khu.ac.ir Kharazmi University
تعداد صفحه :
3
كليدواژه :
Lie Engel ring , Group algebra , Engel group
سال انتشار :
1395
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
زبان مدرك :
انگليسي
چكيده فارسي :
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
لينک به اين مدرک :
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