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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

On the Galois groups of cubics and trinomials


Author: Phyllis Lefton
Journal: Bull. Amer. Math. Soc. 82 (1976), 754-756
MSC (1970): Primary 12A20, 12A55; Secondary 10B05, 12A25
MathSciNet review: 0422228
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  • 1. Emil Artin, Theory of algebraic numbers, Notes by Gerhard Würges from lectures held at the Mathematisches Institut, Göttingen, Germany, in the Winter Semester, vol. 1956/7, George Striker, Schildweg 12, Göttingen, 1959. MR 0132037 (24 #A1884)
  • 2. P. X. Gallagher, The large sieve and probabilistic Galois theory, Analytic number theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., St. Louis, Mo., 1972), Amer. Math. Soc., Providence, R.I., 1973, pp. 91–101. MR 0332694 (48 #11020)
  • 3. R. L. Goodstein, The discriminant of a certain polynomial, Math. Gaz. 53 (1969), 60-61.
  • 4. J. Heading, The discriminant of an equation of nth degree, Math. Gaz. 51 (1967), 324-326.
  • 5. Hans-Wilhelm Knobloch, Zum Hilbertschen Irreduzibilitätssatz, Abh. Math. Sem. Univ. Hamburg 19 (1955), 176–190 (German). MR 0067923 (16,798g)
  • 6. Phyllis Lefton, On the Galois groups of cubics and trinomials, Acta Arith. 35 (1979), no. 3, 239–246. MR 550295 (80m:12007)
  • 7. D. W. Masser, The discriminants of special equations, Math. Gaz. 50 (1966), 158—160.
  • 8. Pierre Samuel, Algebraic theory of numbers, Translated from the French by Allan J. Silberger, Houghton Mifflin Co., Boston, Mass., 1970. MR 0265266 (42 #177)
  • 9. B. L. van der Waerden, Die Seltenheit der Gleichungen mit Affekt, Math. Ann. 109 (1934), no. 1, 13–16 (German). MR 1512878, http://dx.doi.org/10.1007/BF01449123
  • 10. B. L. van der Waerden, Die Seltenheit der reduziblen Gleichungen und der Gleichungen mit Affekt, Monatsh. Math. 43 (1936), 137-147.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1976-14151-1
PII: S 0002-9904(1976)14151-1