某些具有正相关子群的HNN扩展的共轭可分性

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2016-12-01 DOI:10.22108/IJGT.2016.9021

K. B. Wong, D. Robinson, P. C. Wong

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引用次数: 0

摘要

本文给出了具有正规关联子群的子群可分群的某些HNN扩展是共轭可分的充分必要条件。事实上，我们将证明这些HNN扩展是共轭可分的当且仅当其关联子群之一的归一化是共轭可分的。

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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CONJUGACY SEPARABILITY OF CERTAIN HNN EXTENSIONS WITH NORMAL ASSOCIATED SUBGROUPS

In this paper, we will give necessary and sufficient conditions for certain HNN extensions of subgroup separable groups with normal associated subgroup to be conjugacy separable. In fact, we will show that these HNN extensions are conjugacy separable if and only if the normalizer of one of its associated subgroup is conjugacy separable.

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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.