On the Galois structure of the class group of certain Kummer extensions-Reference-Cited by-同舟云学术

On the Galois structure of the class group of certain Kummer extensions

Published:2018-03-28 Issue:1 Volume:98 Page:35-58
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:J. London Math. Soc.

Author:

Lecouturier Emmanuel¹

Affiliation:

1. Université Paris-Diderot; 5 Rue Thomas Mann 75013 Paris France

Funder

Université Paris Diderot

Publisher

Wiley

Subject

General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1112/jlms.12123/fullpdf

Reference15 articles.

1. Blog Persiflage Schaefer and Stubley on Class Groups 2017 https://galoisrepresentations.wordpress.com/2017/10/28/schaefer-and-stubley-on-class-groups/

2. On the ramification of Hecke algebras at Eisenstein primes;Calegari;Invent. Math.,2005

3. P. Garett Kummer, Eisenstein, computing Gauss sums as Lagrange resolvents 2010 http://www.math.umn.edu/~garrett/m/v/kummer_eis.pdf

4. Genera in abelian extensions;Gold;Proc. Amer. Math. Soc.,1975

5. On the values of abelian L-functions at s=0;Gross;J. Fac. Sci. Univ. Tokyo Sect. IA Math.,1988

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. THE EISENSTEIN IDEAL OF WEIGHT k AND RANKS OF HECKE ALGEBRAS;Journal of the Institute of Mathematics of Jussieu;2023-03-31

2. Explicit non-Gorenstein $$R={\mathbb {T}}$$ via rank bounds II: Computational aspects;Research in Number Theory;2023-01-26

3. A modular construction of unramified -extensions of ℚ(ℕ^{1/});Proceedings of the American Mathematical Society, Series B;2022-10-31

4. Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras;Inventiones mathematicae;2020-10-14

5. Overconvergent modular forms and their explicit arithmetic;Bulletin of the American Mathematical Society;2020-08-19