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A remark on the C-normality of maximal subgroups of finite groups

Published online by Cambridge University Press:  20 January 2009

Yanming Wang
Yanming Wang
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou 510275, People's Republic of ChinaE-mail address:wym@zsulink.zsu.edu.cn
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Abstract

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A subgroup H is called c-normal in a group G if there exists a normal subgroup N of G such that HN = G and H∩N ≤ HG, where HG =: Core(H) = ∩g∈GHg is the maximal normal subgroup of G which is contained in H. We use a result on primitive groups and the c-normality of maximal subgroups of a finite group G to obtain results about the influence of the set of maximal subgroups on the structure of G.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997 , pp. 243 - 246
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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