IJPAM: Volume 20, No. 3 (2005)

GROUPS WITH TRIVIAL INTERSECTION
OF SUBGROUPS

Hamza Ahmad$^1$, Nancy Colwell$^2$
$^{1,2}$Department of Mathematical Sciences
Saginaw Valley State University
7400 Bay Road, University Center, MI 48710, USA
$^1$e-mail: nccolwel@svsu.edu
$^2$e-mail: hyahmad@svsu.edu


Abstract.We determine, up to isomorphism, all finite groups $G$ that have the property that for any two subgroups $H$ and $K$ of $G$, $H\subseteq K$, $K\subseteq H$, or $\ord{H\cap K}=1$.

Received: January 31, 2005

AMS Subject Classification: 20E99, 20D20

Key Words and Phrases: finite group, trivial intersection, subgroup

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 3