JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (4): 39-42.doi: 10.6040/j.issn.1671-9352.0.2015.239

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On p-nilpotency and supersolubility of finite groups

MAO Yue-mei1,2, YANG Nan-ying3   

  1. 1. School of Mathematics and Computer Science, Datong University, Datong 037009, Shanxi, China;
    2. Department of Mathematics, University of Science and Technology of China, Hefei 230026, Anhui, China;
    3. School of Sciences, Jiangnan University, Wuxi 214064, Jiangsu, China
  • Received:2015-05-20 Online:2016-04-20 Published:2016-04-08

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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.

Key words: 2-maximal subgroup, p-nilpotent group, S-quasinormal subgroup, supersoluble group

CLC Number: 

  • O152
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