小Hirsch长度有限生成无扭转2步幂零群的R∞性质

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-01-01 DOI:10.1016/j.topol.2024.109084

Karel Dekimpe , Maarten Lathouwers

引用次数: 0

摘要

在本文中，我们将证明有限生成的最长为6的无扭转2步幂零群不具有R∞性质，而有这样的Hirsch长度为7的群具有R∞性质的例子。

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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R∞-property for finitely generated torsion-free 2-step nilpotent groups of small Hirsch length

In this paper we will show that finitely generated torsion-free 2-step nilpotent groups of Hirsch length at most 6 do not have the

R_{\infty}

-property, while there are examples of such groups of Hirsch length 7 that do have the

R_{\infty}

-property.

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.