Czechoslovak Mathematical Journal

, Volume 69, Issue 1, pp 39–43 | Cite as

On Weakly-Supplemented Subgroups of Finite Groups

  • Qingjun KongEmail author


A subgroup H of a finite group G is weakly-supplemented in G if there exists a proper subgroup K of G such that G = HK. In this paper, some interesting results with weakly-supplemented minimal subgroups to a smaller subgroup of G are obtained.


weakly-supplemented subgroup complemented subgroup supersolvable group 

MSC 2010

20D10 20D20 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Z. Arad, M. B. Ward: New criteria for the solvability of finite groups. J. Algebra 77 (1982), 234–246.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    P. Hall: A characteristic property of soluble groups. J. Lond. Math. Soc. 12 (1937), 198–200.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    P. Hall: Complemented groups. J. Lond. Math. Soc. 12 (1937), 201–204.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    B. Huppert: Endliche Gruppen I. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 134, Springer, Berlin, 1967. (In German.)Google Scholar
  5. [5]
    Q. Kong, Q. Liu: The influence of weakly-supplemented subgroups on the structure of finite groups. Czech. Math. J. 64 (2014), 173–182.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    D. Li, X. Guo: The influence of c-normality of subgroups on the structure of finite groups II. Commun. Algebra 26 (1998), 1913–1922.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    H. Pan: A note on weakly-supplemented subgroups of finite groups. To appear in Czech. Math. J..Google Scholar

Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  1. 1.Department of MathematicsTianjin Polytechnic UniversityTianjinP.R. China

Personalised recommendations