On complemented subgroups of finite groups

Authors
Ballester-Bolinches, A Guo, XY
Citation
A. Ballester-bolinches et Xy. Guo, On complemented subgroups of finite groups, ARCH MATH, 72(3), 1999, pp. 161-166
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
72
Issue
3
Year of publication
1999
Pages
161 - 166
Database
ISI
SICI code
0003-889X(19990302)72:3<161:OCSOFG>2.0.ZU;2-N
Abstract
In this paper, it is proved that the class of all finite supersoluble group s with elementary abelian Sylow subgroups is just the class of all finite g roups 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.