Abelian subgroup separability of certain generalized free products of free or finitely generated nilpotent groups

作者：Zhou, Wei; Kim, Goansu^*

来源：Journal of Pure and Applied Algebra, 2017, 221(1): 222-228.

DOI：10.1016/j.jpaa.2016.06.004

In this paper we prove that certain generalized free products of abelian subgroup separable groups, amalgamating an infinite cyclic subgroup, are abelian subgroup separable. Applying this, we derive that tree products of free groups or finitely generated nilpotent groups, amalgamating infinite cyclic subgroups, are abelian subgroup separable.

• 出版日期2017-1
• 单位西南大学