Group algebra whose unit group is locally nilpotent
classification
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math.GRmath.RT
keywords
groupalgebranilpotentlocallycompleteelementsengelfields
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We present a complete list of groups $G$ and fields $F$ for which: (i) the group of normalized units V(FG) of the group algebra FG is locally nilpotent; (ii) the group algebra FG has a finite number of nilpotent elements and V(FG) is an Engel group.
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