Symmetric groups and completions of the Goldschmidt amalgams of type G 1

It is shown that, with only a few small exceptions, any finite symmetric group is a faithful completion of the Goldschmidt amalgams of type G 11, G12, and G1 3. A recursive procedure is used to 'add' copies of small completions, in particular that of Sym(9), to obtain nine infinite series of completions isomorphic to symmetric groups. © de Gruyter 2006.