Publication:
Galois Groups of Polynomials Arising from Circulant Matrices

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Authors
Filaseta, M.
Luca, Florian
Stănică, Pantelimon
Underwood, R. G.
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Date of Issue
2008
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Abstract
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Computng the Galois group of the splitting field of a given polynomial with interger coefficients is a classical problem in modern algebra. A theorem of Van de Waerden {Wae) asseerts that almost all (monic) polynomials in Z(x) have associated Galois group Sn, the symmetric on n letters. Thus, cases where the associated Galois group is different from Sn are rare. Nevertheless, examples of polynomials where the associated Galois group is no Sn are well-known...
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Applied Mathematics
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Naval Postgraduate School (U.S.)
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Citation
J. Number Theory 128:1 (2008), 59-70.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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