hang

Definition:

The term "hang" means to suspend something or someone above the ground.

Death by hanging typically is done by tying a rope that is tied around a person's neck and sustending him from an elevated object, like a tree limb. Judas killed himself by hanging.
Although Jesus died while hanging on a wooden cross, there was nothing around his neck: the soldiers suspended him by nailing his hands (or wrists) and his feet to the cross.
To hang someone always refers to the way of killing someone by hanging them with a rope around their neck.