论文标题
Baumslag-solitar群体和残留的nilpotence
Baumslag-Solitar groups and residual nilpotence
论文作者
论文摘要
对于baumslag-solitar $ g $，我们计算了$ g $的下中央序列的所有术语的交叉点$γ_w（g）$。我们能够证明$ [γ_W（g），g] =γ_W（g）$，从而回答了Bardakov和Neschadim的问题。最后，我们证明商组$γ_c（g）/γ_{C+1}（g）$ g $的下中央系列是有限的。
For a Baumslag-Solitar group $G$ we calculate the intersection $γ_w(G)$ of all terms of the lower central sequence of $G$.Using this we are able to show that $[γ_w(G),G]=γ_w(G)$ thus answering a question of Bardakov and Neschadim. Finally we show that the quotient groups $γ_c(G)/γ_{c+1}(G)$ of the lower central series of $G$ are finite.
