Title of article :
Minimal embeddings of small finite groups
Author/Authors :
Heffernan, Robert Department of Mathematics - Cork Institute of Technology - Ireland , McCann, Brendan Department of Computing and Mathematics - Waterford Institute of Technology - Ireland
Abstract :
We determine the groups of minimal order in which all groups of order n can embedded for 1≤n≤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≤n≤15.
Keywords :
Embeddings of groups , minimal embeddings , small finite groups
Journal title :
International Journal of Group Theory