The Sylow subgroups of the symmetric groups
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- by A. J. Weir
- Proc. Amer. Math. Soc. 6 (1955), 534-541
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072142-7
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References
- Léo Kaloujnine, Sur les $p$-groupes de Sylow du groupe symétrique du degré $p^m$, C. R. Acad. Sci. Paris 221 (1945), 222–224 (French). MR 14087
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- 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). MR 0049893 W. Burnside, The theory of groups, 2d ed., Cambridge University Press, 1911. G. Polyà, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, und Chemische Verbindungen, Acta Math. vol. 68, pp. 145-254.
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- A. J. Weir, Sylow $p$-subgroups of the general linear group over finite fields of characteristic $p$, Proc. Amer. Math. Soc. 6 (1955), 454–464. MR 69175, DOI 10.1090/S0002-9939-1955-0069175-3
- A. J. Weir, Sylow $p$-subgroups of the classical groups over finite fields with characteristic prime to $p$, Proc. Amer. Math. Soc. 6 (1955), 529–533. MR 72143, DOI 10.1090/S0002-9939-1955-0072143-9 P. Hall, A contribution to the theory of groups of prime power order, Proc. London Math. Soc. vol. 36 (1933) pp. 29-95.
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Bibliographic Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 534-541
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0072142-7
- MathSciNet review: 0072142