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June 2002 A note on unramified quaternion extensions over quadratic number fields
Akito Nomura
Proc. Japan Acad. Ser. A Math. Sci. 78(6): 80-82 (June 2002). DOI: 10.3792/pjaa.78.80

Abstract

The present note studies the existence of unramified quaternion extensions over quadratic fields, and give an alternative proof of Lemmermeyer's result. Our method is based on the theory of embedding problems with restricted ramification.

Citation

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Akito Nomura. "A note on unramified quaternion extensions over quadratic number fields." Proc. Japan Acad. Ser. A Math. Sci. 78 (6) 80 - 82, June 2002. https://doi.org/10.3792/pjaa.78.80

Information

Published: June 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1049.11118
MathSciNet: MR1913935
Digital Object Identifier: 10.3792/pjaa.78.80

Subjects:
Primary: 11R29 , 12F12

Keywords: embedding problems , inverse Galois problems , unramified quaternion extensions

Rights: Copyright © 2002 The Japan Academy

Vol.78 • No. 6 • June 2002
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