Group algebra whose unit group is locally nilpotent

Abstract

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.

arXiv comment7 pages

References in corpus (1)

• $3$-$Li{e}_{\infty }$-algebras and $3$-Lie 2-algebras