Open Access
2010 Minimum Discriminants of Imprimitive Decic Fields
Eric D. Driver, John W. Jones
Experiment. Math. 19(4): 475-479 (2010).

Abstract

In this paper, we compute the minimum discriminants of imprimitive degree-10 fields for different combinations of Galois group and signature. We use class field theory when there is a quintic subfield, and a Martinet search in the more difficult case in which there is only a quadratic subfield.

Citation

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Eric D. Driver. John W. Jones. "Minimum Discriminants of Imprimitive Decic Fields." Experiment. Math. 19 (4) 475 - 479, 2010.

Information

Published: 2010
First available in Project Euclid: 4 October 2011

zbMATH: 1298.11120
MathSciNet: MR2778659

Keywords: global field , minimum discriminant , number field

Rights: Copyright © 2010 A K Peters, Ltd.

Vol.19 • No. 4 • 2010
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