关于具有受限中心点的 p 群

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2023-12-13 DOI:10.1007/s10474-023-01388-6

E. Jabara

引用次数: 0

摘要

设\(G\)是一个\(p\) -群，其中每个扶正器要么有限，要么索引有限。证明了如果\(G\)的\(FC\) -中心的大小是无限的，且\(G\)不是一个\(FC\) -群，则\(G\)是阿贝尔有限的。

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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On p-Groups With Restricted Centralizers

Let \(G\) be a \(p\) -group in which every centralizer is either finite or of finite index. It is shown that if the size of the \(FC\) -center of \(G\) is infinite and \(G\) is not an \(FC\) -group, then \(G\) is abelian-by-finite.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.