Open Access
October, 2014 On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields
Mamoru ASADA
J. Math. Soc. Japan 66(4): 1091-1103 (October, 2014). DOI: 10.2969/jmsj/06641091

Abstract

We shall consider the maximal cyclotomic extension of a totally real finite algebraic number field and its ideal class group. We shall investigate the structure of the ideal class group with the action of the cyclotomic Galois group.

Citation

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Mamoru ASADA. "On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields." J. Math. Soc. Japan 66 (4) 1091 - 1103, October, 2014. https://doi.org/10.2969/jmsj/06641091

Information

Published: October, 2014
First available in Project Euclid: 23 October 2014

zbMATH: 1332.11096
MathSciNet: MR3272592
Digital Object Identifier: 10.2969/jmsj/06641091

Subjects:
Primary: 11R18 , 11R23

Keywords: cyclotomic extensions , ideal class groups

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 4 • October, 2014
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