On complemented subgroups of finite groups |
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| Authors: | A Ballester-Bolinches Guo Xiuyun |
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| Institution: | Departament d'Algebra, Universidad de València, C/Doctor Moliner 50, E-46100 Burjassot (València), Spain, ES
Department of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, P.R. China, CN
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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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