Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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FINITE GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS ARE SB-GROUPS

  • Guo, Pengfei (School of Mathematics and Information Engineering Lianyungang Normal College, Department of Civil and Architectural Engineering City University of Hong Kong) ;
  • Wang, Junxin (Department of Mathematics Shanxi University of Finance and Economics) ;
  • Zhang, Hailiang (Department of Mathematics Zhejiang Ocean University)
  • Received : 2013.09.09
  • Published : 2014.07.31
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Abstract

A finite group G is called a SB-group if every subgroup of G is either s-quasinormal or abnormal in G. In this paper, we give a complete classification of those groups which are not SB-groups but all of whose proper subgroups are SB-groups.

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References

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