中文

Journal of Shanghai University（Natural Science Edition） ›› 2010, Vol. 16 ›› Issue (6): 639-642.

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

A Note on Number of Sylow Subgroups of Finite Groups

  

  1. (1. Mathematical Department, Hubei University for Nationalities, Enshi 445000, Hubei, China;
    2. School of Mathematical Sciences, Peking University, Beijing 100871, China;
    3. College of Sciences, Shanghai University, Shanghai 200444, China;
    4. School of Mathematical Sciences, Suzhou University, Suzhou 215006, Jiangsu, China)
  • Received:2009-04-29 Online:2010-12-21 Published:2010-12-21

PDF

1529

Abstract:

 The result of Zhang Jiping on the Sylow number of finite groups was generalized, and prove that the number of Sylow  r-subgroup is 2 pn, where p is odd prime and n≥1, if and only if2pn=1+r2m.

CLC Number: