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A prime decomposition symbol for a non-abelian central extension which is abelian over a bicyclic biquadratic field

Published online by Cambridge University Press:  22 January 2016

Yoshiomi Furuta
Yoshiomi Furuta*
Affiliation:
Kanazawa University
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In a previous paper [6] we had some criteria for the prime decomposition in certain non-abelian extensions over the rational number field Q , and as its special case we had a reciprocity of the biquadratic residue symbol. The reciprocity was obtained by using a descent method of the prime decomposition for a central extension over Q which is abelian over a biquadratic field In the present paper we study on the case over a biquadratic field in general. We define a symbol [d 1, d 2, p] which expresses the decomposition law of a rational prime p in a central extension mentioned above.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 79 , October 1980 , pp. 79 - 109
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1980

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