# Groups with one conjugacy class of non-normal subgroups‎ - ‎a short proof

Document Type : Research Paper

Author

Department of Mathematics, University of Tabriz, P.O.Box 51666-17766, Tabriz‎, ‎Iran

Abstract

For a finite group $G$ let $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. We give a short proof of a theorem of Brandl, which classifies finite groups with $nu(G)=1$.

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### History

• Receive Date: 07 April 2014
• Revise Date: 13 September 2014
• Accept Date: 15 September 2014
• First Publish Date: 01 December 2015