On the number of generators and the modular group-ring of a finite $p$-group
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- by Olaf Manz and Reiner Staszewski PDF
- Proc. Amer. Math. Soc. 98 (1986), 189-195 Request permission
Abstract:
We consider the Loewy-series $J{(KP)^i}$ of a finite $p$-group $P$ over a field $K$ of characteristic $p$. We point that the series is not ’monotonic’ in general, but we can show that the dimensions of the Loewy-factors $J{(KP)^i}/J{(KP)^{i + 1}}$ (except the first and the last one) are greater than or equal to the minimal number of generators of $P$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 189-195
- MSC: Primary 20C05; Secondary 16A26, 20C20
- DOI: https://doi.org/10.1090/S0002-9939-1986-0854016-4
- MathSciNet review: 854016