J4 ›› 2011, Vol. 46 ›› Issue (12): 51-54.

• Articles • Previous Articles     Next Articles

The influence of the properties of local subgroups on the structure of finite groups

PU Zhao-Nian1, TANG Ju-Ping2, GU Chun-Hua3   

  1. 1. School of Mathematics and Statistics, Hexi University, Zhangye  734000, Gansu, China;
    2. School of Mathematic Sciences,Yangzhou University,Yangzhou 225002, Jiangsu, China;
    3.Jiangyin Polytechnic College, Jiangyin  214405, Jiangsu, China
  • Received:2011-03-08 Online:2011-12-20 Published:2011-12-24

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Abstract:

The properties of the subgroups have been localized in order to consider the M-supplementation of NG(P), where P is the Sylow p-subgroup of G, and some results about p-nilpotency and supersolvablity have been obtained.

Key words:  M-supplemented subgroups; s-quasinormal; p-nilpotent; Sylow subgroups; normalizer

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