摘要
We prove that generalized free products of certain abelian subgroup separable groups are abelian subgroup separable.Applying this,we show that tree products of polycyclic-by-finite groups,amalgamating central subgroups or retracts are abelian subgroup separable.
基金
The first author gratefully acknowledges the support by National Natural Science Foundation of China(grant No.11971391)
This work was supported by the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIP)(No.2017R1A2B1006606).
