The ideal class groups of two cyclotomic fields-Reference-Cited by-同舟云学术

The ideal class groups of two cyclotomic fields

Published:1980 Issue:3 Volume:78 Page:321-322
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gerth Frank

Abstract

It is known that there are exactly two cyclotomic fields with class numbers equal to 8, namely the fields of 29th and 68th roots of unity. We show by elementary methods how to determine the structure of the ideal class groups of these fields.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-078-03/S0002-9939-1980-0553367-5/S0002-9939-1980-0553367-5.pdf

Reference3 articles.

1. H. Hasse, Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper. Ia, Jber. Deutsch. Math.-Verein. 36 (1927), 233-311.

2. Solution of small class number problems for cyclotomic fields;Masley, John Myron;Compositio Math.,1976

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