Densities for 3-class ranks in certain cubic extensions.

DOI10.1515/crll.1987.381.161zbMath0622.12008OpenAlexW4247646552MaRDI QIDQ3758937

Frank III Gerth

Publication date: 1987

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002205017

zbMATH Keywords

minimal number of generatorsintegral idealGalois modulecyclic cubic extensionlimit density3-class groupabolute normdiscrimant

Mathematics Subject Classification ID

Galois theory (11R32) Asymptotic results on counting functions for algebraic and topological structures (11N45) Cubic and quartic extensions (11R16) Density theorems (11R45) Iwasawa theory (11R23)

Related Items (3)

The densities for 3-ranks of tame kernels of cyclic cubic number fields ⋮ 3-Class groups of cubic cyclic function fields ⋮ On p-class groups of cyclic extensions of prime degree p of certain cyclotomic fields

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