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Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel

Counting discriminants of number fields. (English) Zbl 1193.11109

J. Théor. Nombres Bordx. 18, No. 3, 573-593 (2006).
Summary: For each transitive permutation group \(G\) on \(n\) letters with \(n\leq 4\), we give without proof results, conjectures, and numerical computations on discriminants of number fields \(L\) of degree \(n\) over \(\mathbb Q\) such that the Galois group of the Galois closure of \(L\) is isomorphic to \(G\).

Cited in 1 Review
Cited in 20 Documents

MSC:

11R45 Density theorems
11R29 Class numbers, class groups, discriminants
11R32 Galois theory
11-02 Research exposition (monographs, survey articles) pertaining to number theory

Keywords:

discriminants of number fields; Galois group; Galois closure
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References:

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