Ideals in the modular group ring of a $p$-group
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- by E. T. Hill PDF
- Proc. Amer. Math. Soc. 28 (1971), 389-390 Request permission
Abstract:
We show that if $G$ has order ${p^n}$ then the group ring has a chain of ${p^n} + 1$ ideals and that the radical powers are canonical in the lattice of ideals. We then prove that if $G$ is abelian, $G$ is determined by the lattice of ideals.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 389-390
- MSC: Primary 20.80
- DOI: https://doi.org/10.1090/S0002-9939-1971-0276373-1
- MathSciNet review: 0276373