Separability properties of nilpotent ℚ[𝑥]-powered groups II

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2024-08-05 DOI:10.1515/jgth-2023-0288

Stephen Majewicz, Marcos Zyman

引用次数: 0

Abstract

In this paper, we study nilpotent Q ⁢ [ x ]

\mathbb{Q}[x]

-powered groups that satisfy the following property: for some set of primes 𝜔 in Q ⁢ [ x ]

\mathbb{Q}[x]

, every ω ′

\omega^{\prime}

-isolated Q ⁢ [ x ]

\mathbb{Q}[x]

-subgroup in some family of its Q ⁢ [ x ]

\mathbb{Q}[x]

-subgroups is finite 𝜔-type separable.

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零势ℚ[𝑥]幂群的可分性特性 II

本文研究满足以下性质的无幂 Q [ x ] \mathbb{Q}[x] 有幂群：对于 Q [ x ] \mathbb{Q}[x]中的某个prime 細集，其 Q [ x ] \mathbb{Q}[x]-子群的某个族中的每Ω ′ \omega^{\prime} -隔离的 Q [ x ] \mathbb{Q}[x]-子群都是有限娀型可分离的。

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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来源期刊

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory