International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 2, Pages 393-395
doi:10.1155/S0161171297000501

A remark on operating groups

Yanming Wang1,2

 1Department of Mathematics, Zhongshan University, Guangzhou 51027, China
2School of Mathematics, University of Minnesota, Minneapolis 55455, MN, USA
Received 6 October 1994; Revised 5 January 1995

Abstract

Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains. We remark that the structure of H is quite restricted when G has a special H-invariant subgroup chain.