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C-Supplementedsubgroups of finite groups

Published online by Cambridge University Press:  08 November 2000

A. Ballester-Bolinches ,
Yanming Wang  and
Guo Xiuyun
A. Ballester-Bolinches
Affiliation:
Department d'Àlgebra, Universitat de València, c/Dr.Moliner 50, 46100 Burjassot (València), Spain. E-mail: Adolfo.Ballester@uv.es
Yanming Wang
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou 510275, P. R. China. E-mail: stswym@zsulink.zsu.edu.cn
Guo Xiuyun
Affiliation:
Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China. E-mail: gxy@deer.sxu.edu.cn
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Abstract

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A subgroup H of a group G is said to be c-supplemented inG if there exists a subgroup K of G such thatHK=G and H \cap K is contained in Core_G (H). We follow Hall's ideas to characterize the structure of the finite groups in which every subgroup is c-supplemented. Properties of c-supplemented subgroups are also applied to determine the structure of some finite groups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 3 , September 2000 , pp. 383 - 389
Copyright
2000 Glasgow Mathematical Journal Trust