关于分区环上局部可溶的几乎次正规子群的一个注记

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2019-07-25 DOI:10.22108/IJGT.2019.116399.1546

T. H. Dung

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引用次数: 1

摘要

设D是一个中心为F的除环，并设N是D的乘法群D *的一个局部可溶的几乎次正规子群。我们证明了如果N是F上的代数，则N是中心的。这部分回答了[11，猜想1]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on locally soluble almost subnormal subgroups in divsion rings

Let D be a division ring with center F and assume that N is a locally soluble almost subnormal subgroup of the multiplicative group D∗ of D. We prove that if N is algebraic over F , then N is central. This answers partially [11, Conjecture 1].

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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.