Automorphisms of Finite Order of Soluble Groups of Finite Rank

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2021-04-14 DOI:10.1556/012.2021.58.1.1486

B. Wehrfritz

引用次数: 0

Abstract

We study the effect on sections of a soluble-by-finite group G of finite rank of an almost fixed-point-free automorphism φ of G of finite order. We also elucidate the structure of G if φ has order 4 and if G is also (torsion-free)-by-finite. The latter extends recent work of Xu, Zhou and Liu.

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有限秩可溶群的有限阶自同构

研究了有限阶G的几乎不动点自由自同构φ对有限秩有限可解群G的截面的影响。我们还解释了φ为4阶和G也是(无扭转)有限时G的结构。后者延伸了徐、周和刘最近的工作。

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

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.