Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields
Mamoru Asada
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Keywords: ideal class groups, cyclotomic extensions
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2014 Volume 66 Issue 4 Pages 1091-1103

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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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© 2014 The Mathematical Society of Japan
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