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

Hsia, J. S.; Peterson, Roger D.

doi:10.1090/S0002-9939-1975-0384909-9

An invariant ideal of a group ring of a finite group. II
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by J. S. Hsia and Roger D. Peterson PDF

Proc. Amer. Math. Soc. 51 (1975), 275-281 Request permission

Abstract:

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

References

J. S. Hsia and Roger D. Peterson, An invariant ideal of a group ring of a finite group, and applications, J. Algebra 32 (1974), no. 3, 576–599. MR 384908, DOI 10.1016/0021-8693(74)90160-4

Some computations of the numerical invariant of a finite group

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