Group algebra whose unit group is locally nilpotent
Rings and Algebras
2018-01-17 v1 Group Theory
Representation Theory
Abstract
We present a complete list of groups and fields 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.
Cite
@article{arxiv.1801.05126,
title = {Group algebra whose unit group is locally nilpotent},
author = {Victor A. Bovdi},
journal= {arXiv preprint arXiv:1801.05126},
year = {2018}
}
Comments
7 pages