GROUP RINGS WITH STRONGLY 2-GENERATED AUGMENTATION IDEALS

REFAAT M. SALEM
1993 Tamkang Journal of Mathematics  
Suppose that $G$ is a finite supersolvable (infinite solvable) group, $K$ is a field of char $p>0$. Then the Augmentation ideal $w(K[G])$ is right strongly 2-generated iff $G$ is a $p'$-group-by-cyclic $P$-group (finite $p'$-group-by-infinite cyclic).
doi:10.5556/j.tkjm.24.1993.4474 fatcat:jvfc4jjuhrghdetqjpjnfev43u