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有限幂导p-群关于幂导嵌入的一些性质 被引量:1

Some Properties of Finite Powerful p-groups about Powerfully Eembedded
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摘要 在A.Mann等人研究的幂导p-群的基础上,给出了幂导p-群关于幂导嵌入子群的一些基本性质。 This paper gives some other properties of powerfully embedded subgroups of finite p-groups on the base of powerful p-groups which were discussed by A.Mann.
出处 《山西大同大学学报(自然科学版)》 2012年第4期4-5,共2页 Journal of Shanxi Datong University(Natural Science Edition)
关键词 有限P-群 幂导嵌入 正则 交换 finite p-groups powerfully embedded regularly abelian
  • 相关文献

参考文献7

  • 1Mann A, Alexander Lubotzky. Powerful p - group I finite Groups [J]. J Algebra, 1987:484 - 505.
  • 2Hethelyi L, Levai L. On elements of order p in powerful p-groups [J]. J Algebra, 2003(270) : 1 - 6.
  • 3Marcin Mazur. On powers in powerful p-groups [J]. Journal of Group Theory, 2007(10): 431 - 433.
  • 4毛月梅,马小箭.有限幂导p群的一些基本性质[J].山西大同大学学报(自然科学版),2009,25(2):18-19. 被引量:1
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  • 6Deane E. Arganbright. The power - commutator structure of finite p-groups[J]. Tran Amer Math Soc, 1969(29): 11 - 17.
  • 7Mann A. Fania Posnick-Fradkin. Subgroups of powerful groups [J]. Isra J Math, 2003(138): 19 - 28.

二级参考文献3

  • 1Mann A, Alexander Lubotzky. Powerful p-group 1 finite Groups [J]. J Algebra, 1987, 105: 484-505.
  • 2W. King Bruce. Normal subgroups of groups of prime-power order[A], in "Proc. Second Internate. Conf. Th. Groups", Lecture Notes in Math [C]. Spring-Verlag Berlin,1973: 401-408.
  • 3徐明曜.有限群导引(上册)[M].北京:科学出版社,2001:80-85.

同被引文献8

  • 1徐明曜,曲海鹏.有限P-群[M].北京:北京大学出版社,2010.
  • 2Craven D A. The Theory of p-Group[M]. Hilary Term, 2008.
  • 3Berkovich Y. On subgroups of finite p-group[J]. J. Al- gebra, 2000, 224 : 198-240.
  • 4Lubotzky A, Mann A. Powerful p-group I finite groups [J]. J.Algebra, 1987, 105: 484-505.
  • 5Hethelyi L. On powerful normal subgroups of a p-group [J]. Monatsh Math., 2000, 130: 201-209.
  • 6Mazur M. On powers in powerful p-group[J]. J. Group Theory, 2007, 10: 431-433.
  • 7Wilsom L. On the power structure of powerful p-group [J]. J.Group Theory, 2002, 5: 129-144.
  • 8Mann A, Posnick-Fradkin F. Subgroups of powerful p- group[J]. Isra. J. Math., 2003, 138: 19-28.

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