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Some Polynomials over Q(t) and Their Galois Groups

Gene Ward Smith
Mathematics of Computation
Vol. 69, No. 230 (Apr., 2000), pp. 775-796
Stable URL: http://www.jstor.org/stable/2584902
Page Count: 22
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Some Polynomials over Q(t) and Their Galois Groups
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Abstract

Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demonstrating the existence of an infinity of extensions with each Galois group over Q through degree eight. The methods used, which for the most part have not appeared in print, are briefly discussed.

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