Abelian subgroup separability of certain HNN extensions

作者：Zhou, Wei^*; Kim, Goansu

来源：International Journal of Algebra and Computation, 2018, 28(3): 543-552.

DOI：10.1142/S021819671850025X

• Subgroup separable
• residually finite
• HNN extensions
• nilpotent groups

In this paper, we prove that certain HNN extensions of finitely generated abelian subgroup separable groups are finitely generated abelian subgroup separable. Using this, we show that. certain HNN extensions of finitely generated nilpotent groups are finitely generated abelian subgroup separable.

• 出版日期2018-5
• 单位西南大学