Primitive ideals in group rings of polycyclic groups

Snider, Robert L.

doi:10.1090/S0002-9939-1976-0414622-1

Primitive ideals in group rings of polycyclic groups
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by Robert L. Snider

Proc. Amer. Math. Soc. 57 (1976), 8-10

DOI: https://doi.org/10.1090/S0002-9939-1976-0414622-1

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Abstract:

If $F$ is a field which is not algebraic over a finite field and $G$ is a polycyclic group, then all primitive ideals of the group ring $F[G]$ are maximal if and only if $G$ is nilpotent-by-finite.

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