J. Aust. Math. Soc.  78 (2005), 297-304
On c-normality of finite groups

M. Asaad
  Cairo University
  Faculty of Science
  Department of Mathematics
  Giza
  Egypt
  moasmohs@frcu.eun.eg
and     
M. Ezzat Mohamed
  Cairo University
  Faculty of Science
  Department of Mathematics
  Giza
  Egypt
  mohaezzat@yahoo.com


Abstract
A subgroup $H$ of a finite group $G$ is said to be c-normal in $G$ if there exists a normal subgroup $N$ of $G$ such that $G=HN$ with $H\cap N\leq H_{G}=\operatorname{Core}_{G}(H)$. We are interested in studying the influence of the c-normality of certain subgroups of prime power order on the structure of finite groups.
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