Abelian Subgroup Separability of Certain Generalized Free Products of Groups

作     者：Wei Zhou Goansu Kim Wei Zhou;Goansu Kim

作者机构：School of Mathematics and StatisticsSouthwest University Chongqing 400715China Yeungnam UniversityKyongsan712-749Korea 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2020年第27卷第4期

页      面：651-660页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

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). 

主　　题：subgroup separable residually finite generalized free products tree products retracts 

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.