Abelian Subgroup Separability of Certain Generalized Free Products of Groups  

作　　者：Wei Zhou Goansu Kim 

机构地区：[1]School of Mathematics and Statistics,Southwest University Chongqing 400715,China [2]Yeungnam University,Kyongsan,712-749,Korea

出　　处：《Algebra Colloquium》2020年第4期651-660,共10页代数集刊（英文版）

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).

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.

关 键 词：subgroup separable residually finite generalized free products tree products retracts 

分 类 号：O15[理学—数学]