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/