论文标题
Nilpotent组直接产物的雷德氏谱系
The Reidemeister spectrum of direct products of nilpotent groups
论文作者
论文摘要
我们研究了Nilpotent组的直接产物的雷德氏谱。更具体地说,我们证明,如果所有组都是有限生成的无扭转的nilpotent,并且直接具有不可塑性的理性Malcev完成,则单个因素的reidemister光谱为直接产品的reideMister光谱提供了完整的信息。我们通过确定直接产品的完整自动形态组来证明这一点。
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.