The root class residuality of Baumslag-Solitar groups

作者：Tumanova E A^*

来源：Siberian Mathematical Journal, 2017, 58(3): 546-552.

DOI：10.1134/S003744661703017X

• root class residuality
• residual solubility
• residual pi-finiteness
• Baumslag-Solitar groups
• HNN-extension

Given a homomorphically closed root class K of groups, we find a criterion for a Baumslag-Solitar group to be a residually K-group. In particular, we establish that all Baumslag-Solitar groups are residually soluble and a Baumslag-Solitar group is residually finite soluble if and only if it is residually finite.

• 出版日期2017-5