Baumslag-Solitar groups and residual nilpotence

C. E. Kofinas; V. Metaftsis; A. I. Papistas

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arXiv · 2201.10172

Baumslag-Solitar groups and residual nilpotence

C. E. Kofinas·V. Metaftsis·A. I. Papistas

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Abstract

For a Baumslag-Solitar group $G$ we calculate the intersection $\gamma_w(G)$ of all terms of the lower central sequence of $G$.Using this we are able to show that $[\gamma_w(G),G]=\gamma_w(G)$ thus answering a question of Bardakov and Neschadim. Finally we show that the quotient groups $\gamma_c(G)/\gamma_{c+1}(G)$ of the lower central series of $G$ are finite.

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BibTeX RIS

C. E. Kofinas, V. Metaftsis, A. I. Papistas. 2022-01-25. Baumslag-Solitar groups and residual nilpotence. https://arxiv.org/abs/2201.10172

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