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- 2016
有限群的p-幂零性和超可解性
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Abstract:
摘要： 通过讨论群G的Sylow子群的极大子群的弱Fs-拟正规性,得到了G是p-幂零和超可解的一些新的判别准则。
Abstract: By studying the weakly Fs-quasinormality of the maximal subgroup of Sylow subgroups of G, some new characterizations about p-nilpotency and supersolubility of G are obtained
| [1] | MAO Yuemei, CHEN Xiaoyu, GUO Wenbin.On the weakly F<sub>s</sub>-quasinormal subgroups of finite groups[J]. Bull Iranian Math Soc, 2015, 41(3):665-675. |
| [2] | SKIBA A N. On weakly s-permutable subgroups of finite groups[J]. J Algebra, 2007, 315:192-209. |
| [3] | HUPPERT B. Endliche Gruppen I[M]. New York: Springer-Verlag, 1967. |
| [4] | GUO Wenbin, YU Xiufeng. On F<sub>n</sub>-normal subgroups of finite groups[J]. Sib Math J, 2011,52(2):197-206. |
| [5] | HUANG Jianhong. On F<sub>s</sub>-quasinormal subgroups of finite groups[J].Comm Algebra, 2010, 38:4063-4076. |
| [6] | DOERK K, HAWKES T.Finite soluble groups[M]. New York: Walter de Druyter, 1992. |
| [7] | 郭文彬.群类论[M].北京: 科学出版社,1997. GUO Wenbin.The theory of classes of groups[M]. Beijing: Science Press, 1997. |
| [8] | GROSS F. Conjugacy of odd order Hall subgroups[J]. Bull London Math Soc, 1987,19:311-319. |
| [9] | CHEN Xiaoyu, GUO Wenbin. On weakly <i>S</i>-embedded and weakly <i>τ</i>-embedded subgroups[J]. Sib Math J, 2013, 54:931-945. |
