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p-Ranks of class groups inZpd-extensions

✍ Scribed by Paul Monsky

Publisher
Springer
Year
1983
Tongue
English
Weight
354 KB
Volume
263
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

p-Ranks of Class Groups of Witt Equivale
p-Ranks of Class Groups of Witt Equivalent Number Fields
✍ Kazimierz Szymiczek πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 136 KB

We prove that, for each prime p dividing n, every infinite class of Witt equivalent number fields of degree n 2 contains a field with the p-rank of the ideal class group exceeding any given number.

Class groups of dihedral extensions
Class groups of dihedral extensions
✍ Franz Lemmermeyer πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## Abstract Let __L/F__ be a dihedral extension of degree 2__p__, where __p__ is an odd prime. Let __K/F__ and __k/F__ be subextensions of __L/F__ with degrees __p__ and 2, respectively. Then we will study relations between the __p__‐ranks of the class groups Cl(__K__) and Cl(__k__). (Β© 2005 WILEY‐