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Archiv der Mathematik

, Volume 72, Issue 3, pp 161–166 | Cite as

On complemented subgroups of finite groups

  • A. Ballester-Bolinches
  • Guo Xiuyun
Article

Abstract.

In this paper, it is proved that the class of all finite supersoluble groups with elementary abelian Sylow subgroups is just the class of all finite groups for which every minimal subgroup is complemented. The structure of a finite group under the assumption that all maximal subgroups (respectively 2-maximal) of any Sylow subgroup are complemented is also analyzed.

Keywords

Finite Group Maximal Subgroup Sylow Subgroup Minimal Subgroup Supersoluble Group 

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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • A. Ballester-Bolinches
    • 1
  • Guo Xiuyun
    • 2
  1. 1.Departament d'Algebra, Universidad de València, C/Doctor Moliner 50, E-46100 Burjassot (València), SpainSpain
  2. 2.Department of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, P.R. ChinaChina

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