@piksihk,
As far as I know, the only gingers that will root from stem cuttings are the Costus and some of the Tapeinochilus. Hedychium, Globba, Kaempheria, Alpinia, Schomburghkia will not. You have to propagate those through seeds or through rhizome division. Costus will also make new plants from their old blooms, if those blooms are allowed to stay on the ground. A new plantlet will come out and root itself into the ground. Then you can cut the mother stem away, and either leave the new plant where it rooted or take it up and put it where you want it.