The Sylow sub-groups of the symmetric groups. (English) Zbl 0065.25602
Keywords:
group theoryReferences:
| [1] | Léo Kaloujnine, Sur les \?-groupes de Sylow du groupe symétrique du degré \?^{\?}, C. R. Acad. Sci. Paris 221 (1945), 222 – 224 (French). · Zbl 0061.03302 |
| [2] | Léo Kaloujnine, La structure des \?-groupes de Sylow des groupes symétriques finis, Ann. Sci. École Norm. Sup. (3) 65 (1948), 239 – 276 (French). · Zbl 0034.30501 |
| [3] | M. Krasner and L. Kaloujnine, Produit complet de groupes de permutations et problème d’extension de groupes, I, II, III, Acta Univ. Szeged. vol. 13 (1950) pp. 208-230; vol. 14 (1951) pp. 39-66, 69-82. · Zbl 0041.15802 |
| [4] | L. Kaloujnine, Le produit complet des groupes et la théorie d’extension de Schreier, Algèbre et Théorie des Nombres., Colloques Internationaux du Centre National de la Recherche Scientifique, no. 24, Centre National de la Recherche Scientifique, Paris, 1950, pp. 203 – 206 (French). · Zbl 0041.15801 |
| [5] | W. Burnside, The theory of groups, 2d ed., Cambridge University Press, 1911. · JFM 42.0151.02 |
| [6] | G. Polyà, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, und Chemische Verbindungen, Acta Math. vol. 68, pp. 145-254. · JFM 63.0547.04 |
| [7] | Oystein Ore, Theory of monomial groups, Trans. Amer. Math. Soc. 51 (1942), 15 – 64. · JFM 68.0039.01 |
| [8] | A. J. Weir, Sylow \?-subgroups of the general linear group over finite fields of characteristic \?, Proc. Amer. Math. Soc. 6 (1955), 454 – 464. · Zbl 0065.01202 |
| [9] | A. J. Weir, Sylow \?-subgroups of the classical groups over finite fields with characteristic prime to \?, Proc. Amer. Math. Soc. 6 (1955), 529 – 533. · Zbl 0065.01203 |
| [10] | P. Hall, A contribution to the theory of groups of prime power order, Proc. London Math. Soc. vol. 36 (1933) pp. 29-95. · Zbl 0007.29102 |
| [11] | Hans Zassenhaus, The Theory of Groups, Chelsea Publishing Company, New York, N. Y., 1949. Translated from the German by Saul Kravetz. · Zbl 0041.00704 |
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