Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1507-1511.

• Articles • Previous Articles     Next Articles

A Sufficient Condition on Bp Groups

 CHEN Song-Liang   

  1. Department of Mathematics, Guizhou Normal College, Guiyang 550018
  • Received:2009-11-27 Revised:2010-12-21 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    贵州省科技厅自然科学基金(2010GZ77391)和贵州师范学院课题资助

Abstract:

Let P be a Sylow p-subgroup of a finite group G. We say G is a Bp group if the p-nilpotency of NG(P) implies the p-nilpotency of G. In this paper, we give a sufficient condition of Bp groups.

Key words: Bp group, p-nilpotent, Hypercenter, Sylow p-subgroup

CLC Number: 

  • 20D15
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