Wong, P. C.; Tang, C. K. Tree products of cyclic subgroup separable groups. (English) Zbl 0886.20019 Bull. Malays. Math. Soc., II. Ser. 18, No. 2, 49-54 (1995). It is proved that certain finite tree products of cyclic subgroup separable groups are again cyclic subgroup separable. As consequences finite tree products of polycyclic-by-finite groups amalgamating central subgroups and finite tree products of finitely generated torsion-free nilpotent groups or free groups, amalgamating cyclic subgroups are cyclic subgroup separable. Another consequence is that many one-relator groups are cyclic subgroup separable. Reviewer: N.Ya.Medvedev (Barnaul) MSC: 20E06 Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations 20E26 Residual properties and generalizations; residually finite groups 20F05 Generators, relations, and presentations of groups 20F19 Generalizations of solvable and nilpotent groups Keywords:finite tree products; cyclic subgroup separable groups; polycyclic-by-finite groups; torsion-free nilpotent groups; one-relator groups PDFBibTeX XMLCite \textit{P. C. Wong} and \textit{C. K. Tang}, Bull. Malays. Math. Soc., II. Ser. 18, No. 2, 49--54 (1995; Zbl 0886.20019)