Normal coverings of finite symmetric and alternating groups

Journal of Combinatorial Theory, Series A - Tập 118 - Trang 2000-2024 - 2011
Daniela Bubboloni1, Cheryl E. Praeger2
1Dipartimento di Matematica per le Decisioni, Università di Firenze, via Lombroso 6/17, 50134 Firenze, Italy
2Centre for the Mathematics of Symmetry and Computation, School of Mathematics and Statistics, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

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