Galois action on class groups
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Franz Lemmermeyer
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Article
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2003
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Elsevier Science
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English
β 128 KB
It is well known that the Galois group of an extension L/F puts constraints on the structure of the relative ideal class group Cl(L/F ). Explicit results, however, hardly ever go beyond the semisimple abelian case, where L/F is abelian (in general cyclic) and where (L : F ) and #Cl(L/F ) are coprime