Separability properties of certain tree products of groups

JOURNAL OF ALGEBRA

卷:251

Article

Kim, G ; Tang, CY

关键词: tree products;    conjugacy separable;    residually finite;   

DOI  :  10.1006/jabr.2001.9134

来源: Elsevier

【 摘 要 】

We introduce the concept of finite compatibility to prove certain double coset separability of tree products of central subgroup separable groups. We also prove a criterion for the conjugacy separability of generalized free products of two conjugacy separable groups amalgamating a central subgroup in one of the factors. Using this we prove that tree products of finitely many central subgroup separable and conjugacy separable groups are conjugacy separable. We apply the results to polycyclic-by-finite groups and groups of linkages of torus knots. (C) 2002 Elsevier Science (USA).

【 授权许可】

Free