# Minimal embeddings of small finite groups

Document Type: Research Paper

Authors

1 Department of Mathematics, Cork Institute of Technology, Bishopstown, Cork, Ireland.

2 Department of Computing and Mathematics, Waterford Institute of Technology, Waterford, Ireland

Abstract

We determine the groups of minimal order in which all groups of order $n$ can embedded for $1 \le n \le 15$‎. ‎We further determine the minimal order of a group in which all groups of order $n$ or less can be embedded‎, ‎also for $1 \le n \le 15$‎.

Keywords