EUDML | Class number parity of a compositum of five quadratic fields

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Displaying similar documents to “Class number parity of a compositum of five quadratic fields”

On the parity of the class number of the field $ℚ (\sqrt{p}, \sqrt{q}, \sqrt{r})$

Michal Bulant (1998)

Acta Mathematica et Informatica Universitatis Ostraviensis

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A quadratic field of prime discriminant requiring three generators for its class group, and related theory

Daniel Shanks, Peter Weinberger (1972)

Acta Arithmetica

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A problem of Erdös concerning power residue sums.

P. Elliott (1967)

Acta Arithmetica

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Computations of Iwasawa invariants and $𝐊_{2}$

Alan Candiotti (1974)

Compositio Mathematica

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Unramified quaternion extensions of quadratic number fields

Franz Lemmermeyer (1997)

Journal de théorie des nombres de Bordeaux

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Classical results of Rédei, Reichardt and Scholz show that unramified cyclic quartic extensions of quadratic number fields $k$ correspond to certain factorizations of its discriminant disc $k$ . In this paper we extend their results to unramified quaternion extensions of $k$ which are normal over $ℚ$ , and show how to construct them explicitly.

On determining the quadratic subfields of $Z_{2}$ -extensions of complex quadratic fields

Joseph E. Carroll (1975)

Compositio Mathematica

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