We give a new proof of the main result of [1] which does not use the classification of the finite simple groups.
@article{urn:eudml:doc:41256, title = {The maximal quotient rings of regular group rings (III).}, journal = {Publicacions Matem\`atiques}, volume = {40}, year = {1996}, pages = {15-19}, mrnumber = {MR1397004}, zbl = {0852.16019}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41256} }
Cedó, Ferran. The maximal quotient rings of regular group rings (III).. Publicacions Matemàtiques, Tome 40 (1996) pp. 15-19. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41256/