@article{bwmeta1.element.bwnjournal-article-aav89i1p53bwm, author = {Kurt Girstmair}, title = {Linear relations between roots of polynomials}, journal = {Acta Arithmetica}, volume = {89}, year = {1999}, pages = {53-96}, zbl = {0924.12002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav89i1p53bwm} }
Kurt Girstmair. Linear relations between roots of polynomials. Acta Arithmetica, Tome 89 (1999) pp. 53-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav89i1p53bwm/
[000] [1] G. Baron, M. Drmota and M. Skałba, Polynomial relations between polynomial roots, J. Algebra 177 (1995), 827-846. | Zbl 0835.12003
[001] [2] T. Breuer and K. Lux, The multiplicity-free permutation characters of the sporadic simple groups and their automorphism groups, Comm. Algebra 24 (1996), 2293-2316. | Zbl 0855.20013
[002] [3] P. J. Cameron, Finite permutation groups and finite simple groups, Bull. London Math. Soc. 13 (1981), 1-22. | Zbl 0463.20003
[003] [4] J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, London, 1967.
[004] [5] J. H. Conway et al., Atlas of Finite Groups, Clarendon Press, Oxford, 1985.
[005] [6] C. W. Curtis and I. Reiner, Methods of Representation Theory, Vol. II, Wiley, New York, 1987.
[006] [7] J. D. Dixon, Polynomials with nontrivial relations between their roots, Acta Arith. 82 (1997), 293-302. | Zbl 0881.12001
[007] [8] J. D. Dixon and B. Mortimer, Permutation Groups, Springer, New York, 1996. | Zbl 0951.20001
[008] [9] M. Drmota and M. Skałba, On multiplicative and linear independence of polynomial roots, in: Contributions to General Algebra 7, D. Dorninger et al. (eds.), Hölder-Pichler-Tempsky, Wien, and Teubner, Stuttgart, 1991, 127-135
[009] [10] M. Drmota and M. Skałba, Relations between polynomial roots, Acta Arith. 71 (1995), 65-77.
[010] [11] K. Girstmair, Linear dependence of zeros of polynomials and construction of primitive elements, Manuscripta Math. 39 (1982), 81-97. | Zbl 0514.12010
[011] [12] B. Huppert, Endliche Gruppen I, Springer, Berlin, 1967; reprint 1979. | Zbl 0217.07201
[012] [13] B. Huppert and N. Blackburn, Finite Groups III, Springer, Berlin, 1982. | Zbl 0514.20002
[013] [14] V. A. Kurbatov, Galois extensions of prime degree and their primitive elements, Soviet Math. (Iz. VUZ) 21 (1977), 49-53.
[014] [15] M. W. Liebeck and J. Saxl, The primitive permutation groups of odd degree, J. London Math. Soc. (2) 31 (1985), 250-264. | Zbl 0573.20004
[015] [16] G. Malle und B. H. Matzat, Realisierung von Gruppen als Galoisgruppen über ℚ, Math. Ann. 272 (1985), 549-565.
[016] [17] H. P. Schlickewei and S. A. Stepanov, Algorithms to construct normal bases of cyclic number fields, J. Number Theory 44 (1993), 30-40. | Zbl 0780.11053
[017] [18] J. P. Serre, Linear Representations of Finite Groups, Springer, New York, 1977. | Zbl 0355.20006
[018] [19] C. J. Smyth, Additive and multiplicative relations connecting conjugate algebraic numbers, J. Number Theory 23 (1986), 243-254. | Zbl 0586.12001
[019] [20] H. Wielandt, Finite Permutation Groups, Academic Press, New York, 1964.