Densities for ranks of certain parts of $p$-class groups
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- by Frank Gerth PDF
- Proc. Amer. Math. Soc. 99 (1987), 1-8 Request permission
Abstract:
Let $K$ be a Galois extension of the field of rational numbers of prime degree $p$, and let ${C_K}$ be the $p$-class group of $K$. In this paper densities for the ranks of certain parts of such ${C_K}$ are calculated, and these densities suggest a way to extend conjectures of Cohen and Lenstra.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 1-8
- MSC: Primary 11R18; Secondary 11R29
- DOI: https://doi.org/10.1090/S0002-9939-1987-0866419-3
- MathSciNet review: 866419