J. Aust. Math. Soc.  78 (2005), 429-439
Finite p-nilpotent groups with some subgroups c-supplemented

Xiuyun Guo
  Department of Mathematics
  Shanghai University
  Shanghai 200444
  P. R. of China
  xyguo@staff.shu.edu.cn
and
K. P. Shum
  Faculty of Science
  The Chinese University of Hong Kong
  Shatin, N.T.
  P. R. of China (SAR)
  kpshum@math.cuhk.edu.hk


Abstract
A subgroup $H$ of a finite group $G$ is said to be c-supplemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K$ is contained in $\operatorname{core}_G(H)$. In this paper some results for finite p-nilpotent groups are given based on some subgroups of $P$ c-supplemented in $G$, where p is a prime factor of the order of $G$ and $P$ is a Sylow p-subgroup of $G$. We also give some applications of these results.
Download the article in PDF format (size 87 Kb)
Australian Mathematical Publishing Association Inc. ©  Australian MS