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 subgroup...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.展开更多
In this paper, we show that certain generalized free products of nilpotent-by-finite groups are subgroup separable when the amalgamated subgroup is × D where D is in the center of both factors.
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).
文摘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Supported by the 2011 Yeungnam University Research Grantsupported by the Fundamental Research Funds for the Central Universities(Grant No.XDJK2009C189)National Natural Science Foundation of China(Grant No.11271301)
文摘In this paper, we show that certain generalized free products of nilpotent-by-finite groups are subgroup separable when the amalgamated subgroup is × D where D is in the center of both factors.
