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The determination of Galois groups. (English) Zbl 0282.12004


MSC:

11R09 Polynomials (irreducibility, etc.)
12-04 Software, source code, etc. for problems pertaining to field theory
11R32 Galois theory
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References:

[1] John Brillhart, On the Euler and Bernoulli polynomials, J. Reine Angew. Math. 234 (1969), 45 – 64. · Zbl 0167.35401 · doi:10.1515/crll.1969.234.45
[2] W. Burnside, Theory of Groups of Finite Order, Cambridge Univ. Press, London, 1897.
[3] A. Cayley, ”On the substitution groups for two, three,. . ., eight letters,” Quart. J. Pure Appl. Math., v. 25, 1891, pp. 71-88, 137-155.
[4] F. N. Cole, Note on the substitution groups of six, seven, and eight letters, Bull. Amer. Math. Soc. 2 (1893), no. 8, 184 – 190.
[5] Edgar Dehn, Algebraic equations: An introduction to the theories of Lagrange and Galois, Dover Publications, Inc., New York, 1960. · Zbl 0090.24106
[6] G. A. Miller, Note on substitution groups of eight letters, Bull. Amer. Math. Soc. 3 (1894), no. 7, 168 – 169.
[7] G. A. Miller, Note on the substitution groups of eight and nine letters, Bull. Amer. Math. Soc. 3 (1894), no. 10, 242 – 245.
[8] G. A. Miller, ”Note on Burnside’s theory of groups,” Bull. Amer. Math. Soc., v. 5, 1899, pp. 249-251.
[9] B. van der Waerden, Modern Algebra. Vol. I, Ungar, New York, 1953.
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