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Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

Some polynomials over $\mathbb Q(t)$ and their Galois groups

Author(s): Gene Ward Smith.
Journal: Math. Comp. 69 (2000), 775-796.
MSC (1991): Primary 12F12
Posted: August 19, 1999
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Abstract | Similar articles | Additional information

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


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Additional Information:

Gene Ward Smith
Affiliation: 4408 Upham Court, Ft. Collins, Colorado 80526

DOI: 10.1090/S0025-5718-99-01160-6
PII: S 0025-5718(99)01160-6
Received by editor(s): October 19, 1993
Received by editor(s) in revised form: September 8, 1997
Posted: August 19, 1999
Copyright of article: Copyright 2000, American Mathematical Society


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