正规性是传递关系的可解群的一个性质

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-03-01 DOI:10.22108/IJGT.2017.10890

G. Vincenzi

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引用次数: 1

摘要

在M. Bianchi和e.a. On n -可解群，其中每个子群都有H -性质，J.群论，3(2000)147{156.)中，作者证明了其中每个子群都具有H -性质的n -群是正态是可解群。在这里，我们将这个特征扩展到没有简单节的群。

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A characterization of soluble groups in which normality is a transitive relation

A subgroup X of a group G is said to be an H -subgroup if NG(X) \ X g X for each element g belonging to G. In (M. Bianchi and e.a., On nite soluble groups in which normality is a transitive relation, J. Group Theory, 3 (2000) 147{156.) the authors showed that nite groups in which every subgroup has the H -property are exactly soluble groups in which normality is a transitive relation. Here we extend this characterization to groups without simple sections.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.