论文标题

在下部中央系列baumslag-solitar群体中

On the lower central series of Baumslag-Solitar groups

论文作者

Bardakov, V. G., Neshchadim, M. V.

论文摘要

我们找到了较低的中央序列,用于残留的nilpotent baumslag-solitar群,并找到下中央系列的所有术语的相交。此外,我们发现下中央系列长度为2的非亚伯语Bauslag-solitar群。对于某些Baumslag-Solitar群,在所有有限索引的所有子组的相交与下中央序列的所有项的交叉点之间都发现了连接。

We find the lower central series for residually nilpotent Baumslag-Solitar groups, and find the intersection of all terms of the lower central series. Also, we find non-abelian Bauslag-Solitar groups for which the lower central series has length 2. For some Baumslag-Solitar groups a connection is found between the intersection of all subgroups of finite index and the intersection of all terms of the lower central series.

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