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Abstract
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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 Wang

Department of Mathematics, Zhongshan University, Guangzhou 51027, China

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.