Polynomials with nontrivial relations between their roots

• Autorzy: John D. Dixon
• Języki publikacji: EN

Kategorie tematyczne

• 12F12: Inverse Galois theory
• 12E10: Special polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 82
• Numer: 3
• Strony: 293-302

Daty

wydano

1997

otrzymano

1996-12-23

poprawiono

1997-06-13

Twórcy

autor

John D. Dixon

• Department of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, Canada

Bibliografia

• [1] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Wiley, New York, 1962.
• [2] J. D. Dixon and B. Mortimer, Permutation Groups, Springer, New York, 1996.
• [3] M. Drmota and M. Ska/lba, Relations between polynomial roots, Acta Arith. 71 (1995), 65-77.
• [4] R. Ferguson, Irreducible polynomials with many roots of equal modulus, ibid. 78 (1997), 221-225.
• [5] C. J. Smyth, Conjugate algebraic numbers on conics, ibid. 40 (1982), 333-346.
• [6] C. J. Smyth, Additive and multiplicative relations connecting conjugate algebraic numbers, J. Number Theory 23 (1986), 243-254.
• [7] N. Tschebotaröw, Grundzüge der Galoisschen Theorie (transl. and revised by H. Schwerdtfeger), Noordhoff, Groningen, 1950.
• [8] B. L. van der Waerden, Modern Algebra, Vol. I, Ungar, New York, 1948.
• [9] H. Wielandt, Finite Permutation Groups, Academic Press, New York, 1964.