Normal coverings of finite symmetric and alternating groups
Tài liệu tham khảo
Abbott
Baer, 1960, Partitionen endlicher Gruppen, Math. Z., 75, 333, 10.1007/BF01211032
Berend, 1996, Polynomials with roots modulo every integer, Proc. Amer. Math. Soc., 124, 1663, 10.1090/S0002-9939-96-03210-8
Brandl, 2001, Polynomials with roots mod p for all primes p, J. Group Theory, 4, 233, 10.1515/jgth.2001.020
D. Bubboloni, Coverings of the symmetric and alternating groups, in: Quaderno del Dipartimento di Matematica “U. Dini”, Firenze, 7, 1998, preprint, available at http://arxiv.org/abs/1009.3866.
Cameron, 1999
Cohn, 1994, On n-sum groups, Math. Scand., 75, 44, 10.7146/math.scand.a-12501
Conway, 1985
Dixon, 1996
Huppert, 1982
Jones, 2002, Cyclic regular subgroups of primitive permutation groups, J. Group Theory, 5, 403, 10.1515/jgth.2002.011
Liebeck, 1991, Minimal degrees of primitive permutation groups, with an application to monodromy groups of covers of Riemann surfaces, Proc. Lond. Math. Soc., 63, 266, 10.1112/plms/s3-63.2.266
Maroti, 2005, Covering the symmetric groups with proper subgroups, J. Combin. Theory Ser. A, 110, 97, 10.1016/j.jcta.2004.10.003
Rabayev
Shapiro, 1983, Introduction to the Theory of Numbers
Sonn, 2008, Polynomials with roots in Qp for all p, Proc. Amer. Math. Soc., 136, 1955, 10.1090/S0002-9939-08-09155-7
van der Waerden, 1934, Die Seltenheit der Gleichungen mit Affekt, Math. Ann., 109, 13, 10.1007/BF01449123
Wielandt, 1964