Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
نویسندگان
چکیده
منابع مشابه
The class number one problem for some non-abelian normal CM-fields of degree 48
We determine all the non-abelian normal CM-fields of degree 24 with class number one, provided that the Galois group of their maximal real subfields is isomorphic to A4, the alternating group of degree 4 and order 12. There are two such fields with Galois group A4 × C2 (see Theorem 14) and at most one with Galois group SL2(F3) (see Theorem 18); if the Generalized Riemann Hypothesis is true, the...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1994
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-67-1-47-62