Tree products of conjugacy separable groups

[摘要] A group G is said to be conjugacy separable if for each pair of elements x, y is an element of G such that x and y are not conjugate in G, there exists a finite homomorphic image (G) over bar of G such that the images of x, y are not conjugate in (G) over bar. In this note, we show that the tree products of finitely many conjugacy separable and subgroup separable groups amalgamating central subgroups with trivial intersections are conjugacy separable. We then apply our results to polycyclic-by-finite groups and free-by-finite groups. (C) 1999 Academic Press.

[发布日期] 1999-12-15

[关键词] generalised free product;tree product;conjugacy separable;polycyclic-by-finite groups;free-by-finite groups