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Galois action on class groups

Franz Lemmermeyer
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Abstract

It is well known that the Galois group of an extension puts constraints on the structure of the relative ideal class groups. Using only basic parts of the theory of group representations, we give a unified approach to such results.

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Franz Lemmermeyer. 2002-05-23. Galois action on class groups. https://arxiv.org/abs/math/0205336

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