On the Residual Finiteness of a Class of Infinite Soluble Groups

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-03-20 DOI:10.1142/s1005386723000123

J. Liao, H. Liu, Xiaoliang Luo, Xingzhong Xu

引用次数: 0

Abstract

Let [Formula: see text] be a completely decomposable homogeneous torsion-free abelian group of rank [Formula: see text] ([Formula: see text]). Let [Formula: see text] be the split extension of [Formula: see text] by an automorphism [Formula: see text] which is a cyclic permutation of the direct components twisted by a rational integer [Formula: see text]. Then [Formula: see text] is an infinite soluble group. In this paper, the residual finiteness of [Formula: see text] is investigated.

查看原文本刊更多论文

一类无限可溶群的剩余有限性

设[公式:见文]为秩[公式:见文]的完全可分解齐次无扭阿贝尔群([公式:见文])。设[公式:见文]是[公式:见文]通过自同构[公式:见文]的分裂扩展，该自同构[公式:见文]是由有理数整数扭曲的直接分量的循环置换[公式:见文]。则[公式:见文]是一个无限可溶群。本文研究了[公式:见文]的残差有限性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.