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Criteria of Existence of Hall Subgroups in Non-soluble Finite Groups

Criteria of Existence of Hall Subgroups in Non-soluble Finite Groups
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摘要 In this paper, the famous Hall theorem and the famous Schur-Zassenhaus theorem are generalized. In this paper, the famous Hall theorem and the famous Schur-Zassenhaus theorem are generalized.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第2期295-304,共10页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China (Grant No. 10771180)
关键词 finite groups non-soluble groups Hall subgroups finite groups, non-soluble groups, Hall subgroups
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参考文献13

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  • 2Hall, P.: On the system normalizers of a soluble group. Proc. London Math. Soc., 43(2), 507-528 (1937).
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  • 4GUO, W. B., Shum, K. P., Skiba, A. N.: Conditionally permutable subgroups and supersolubility of finite groups. Southeast Asian Bull. Math., 29, 493-510 (2005).
  • 5GUO, W. B., Shum, K. P., Skiba, A. N.: Criterions of supersolubility for products of supersoluble groups. Publ. Math. Debrecen, 68(3-4), 433-449 (2006).
  • 6GUO, W. B., Shum, K. P., Skiba, A. N.: X-quasinormal subgroups. Siberian Math. J., 48(4), 593-605 (2007).
  • 7GUO, W. B., Shum, K. P., Skiba, A. N.: X-semipermutable subgroups of finite groups. J. Algebra, 315, 31-41 (2007).
  • 8Robinson, D. J. S.: A Course in the Theory of Groups, Springer-Verlag, New York-Heidelberg-Berlin, 1982.
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