An invariant ideal of a group ring of a finite group. II

Abstract

The vanishing of the numerical invariant ν ( G ) \nu (G) of a finite group G G is linked to the existence of certain central annihilators of the generic right ideal Γ R ( G ) {\Gamma _R}(G) in the group ring R G RG . This leads to several affirmative answers of questions posed in [1]. Also, some explicit values of ν ( G ) \nu (G) are described for the class of finite nonsolvable groups having all their odd Sylow subgroups cyclic.