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On complemented subgroups of finite groups

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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.

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Authors and Affiliations

  1. Departament d'Algebra, Universidad de València, C/Doctor Moliner 50, E-46100 Burjassot (València), Spain, Spain

    A. Ballester-Bolinches

  2. Department of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, P.R. China, China

    Guo Xiuyun

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  1. A. Ballester-Bolinches
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  2. Guo Xiuyun
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Received: 5.1.1998

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Ballester-Bolinches, A., Xiuyun, G. On complemented subgroups of finite groups. Arch. Math. 72, 161–166 (1999). https://doi.org/10.1007/s000130050317

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  • DOI: https://doi.org/10.1007/s000130050317

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