幂零群的直接积的Reidemeister谱

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2023-11-02 DOI:10.1515/jgth-2022-0159

Pieter Senden

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引用次数: 3

摘要

摘要研究幂零群直接积的Reidemeister谱。更具体地说，我们证明了当所有群都是有限生成的无扭转幂零且具有直接不可分解的有理Malcev补全时，单个因子的Reidemeister谱产生了直接积的Reidemeister谱的完全信息。我们通过确定直积的完全自同构群来证明这一点。

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The Reidemeister spectrum of direct products of nilpotent groups

Abstract We investigate the Reidemeister spectrum of direct products of nilpotent groups. More specifically, we prove that the Reidemeister spectra of the individual factors yield complete information for the Reidemeister spectrum of the direct product if all groups are finitely generated torsion-free nilpotent and have a directly indecomposable rational Malcev completion. We show this by determining the complete automorphism group of the direct product.

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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