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Title of Journal: Front Math China

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Abbravation: Frontiers of Mathematics in China

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SP Higher Education Press

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10.1016/j.angio.2015.10.007

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1673-3576

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On mathfrakF h normal subgroups of fin

Authors: Xiuxian Feng Wenbin Guo
Publish Date: 2010/06/25
Volume: 5, Issue: 4, Pages: 653-664
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Abstract

Let G be a finite group and let mathfrakF be a formation of finite groups We say that a subgroup H of G is mathfrakF h normal in G if there exists a normal subgroup T of G such that HT is a normal Hall subgroup of G and H ∩ TH G /H G is contained in the mathfrakF hypercenter Z infty mathfrakF G/H G of G/H G In this paper we obtain some results about the mathfrakF h normal subgroups and then use them to study the structure of finite groups


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