On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields

Mamoru ASADA

doi:10.2969/jmsj/06641091

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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.

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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