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Lie Nilpotent Group Algebras and Upper Lie Codimension Subgroups |
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| Authors: | Francesco Catino Ernesto Spinelli |
| Institution: | 1. Department of Mathematics “E. De Giorgi” , Lecce University , Lecce , Italy francesco.catino@unile.it;3. Department of Mathematics “E. De Giorgi” , Lecce University , Lecce , Italy |
| Abstract: | In this article we introduce the series of the upper Lie codimension subgroups of a group algebra KG of a group G over a field K. By means of this series we give a contribution to the conjecture cl L (KG) = cl L (KG) when G belongs to particular classes of finite p-groups. |
| Keywords: | Central series Group algebras Lie nilpotency class |