In this paper, we study the situation as to when the unit group U(KG) of a group algebra KG equals K*G(1 + J(KG)), where K is a field of characteristic p > 0 and G is a finite group.
@article{urn:eudml:doc:41352,
title = {On the Jacobson radical and unit groups of group \'algebras.},
journal = {Publicacions Matem\`atiques},
volume = {42},
year = {1998},
pages = {339-346},
mrnumber = {MR1676031},
zbl = {0921.16019},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41352}
}
Sahai, Meena. On the Jacobson radical and unit groups of group álgebras.. Publicacions Matemàtiques, Tome 42 (1998) pp. 339-346. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41352/