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

Daniel Shanks; Peter Weinberger

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “A quadratic field of prime discriminant requiring three generators for its class group, and related theory”

Unramified quaternion extensions of quadratic number fields

Franz Lemmermeyer (1997)

Journal de théorie des nombres de Bordeaux

Similarity:

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.