The Reidemeister spectrum of direct products of nilpotent groups

被引：2

作者：

Senden, Pieter ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Dept Math, Kulak Kortrijk Campus,E Sabbelaan 53 Box 7657, B-8500 Kortrijk, Belgium

来源：

JOURNAL OF GROUP THEORY | 2024年 / 27卷 / 03期

关键词：

TWISTED CONJUGACY CLASSES; AUTOMORPHISMS;

D O I：

10.1515/jgth-2022-0159

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：519 / 547

页数：29

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