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Dec. 2000 On generic cyclic polynomials of odd prime degree
Shin Nakano
Proc. Japan Acad. Ser. A Math. Sci. 76(10): 159-162 (Dec. 2000). DOI: 10.3792/pjaa.76.159

Abstract

Using Cohen's construction of defining polynomials for a cyclic group of odd prime order, we define a polynomial with some parameters which generates cyclic extensions of a given odd prime degree, and prove it to be generic in the sense as defined below.

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Shin Nakano. "On generic cyclic polynomials of odd prime degree." Proc. Japan Acad. Ser. A Math. Sci. 76 (10) 159 - 162, Dec. 2000. https://doi.org/10.3792/pjaa.76.159

Information

Published: Dec. 2000
First available in Project Euclid: 23 May 2006

MathSciNet: MR1804275
zbMATH: 0990.12002
Digital Object Identifier: 10.3792/pjaa.76.159

Subjects:
Primary: 12F10 , 12F12

Keywords: cyclic extension , generic polynomial

Rights: Copyright © 2000 The Japan Academy

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Vol.76 • No. 10 • Dec. 2000
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