JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (02): 43-46.doi: 10.6040/j.issn.1671-9352.0.2014.147

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On the s-θ-completions for subgroups

GAO Hui, GAO Sheng-zhe, YIN Li   

  1. Science Institute, Dalian Ocean University, Dalian 116023, Liaoning, China
  • Received:2014-04-10 Revised:2014-11-05 Online:2015-02-20 Published:2015-01-27

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Abstract: The notion of s-θ-completions of a proper subgroup of a finite group is introduced. Some new characterizations of the solvable, supersolvable groups are obtained by s-θ-completions of 2-maximal subgroups.

Key words: subgroups, θ-completions, s-θ-completions, solvable groups, supersolvable groups

CLC Number: 

  • O152.1
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