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arXiv 2018-01-16 2 views

Group algebra whose unit group is locally nilpotent

Bovdi, Victor A.

Original · EN

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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