Dominionism, in the context of politics and religion, is the tendency among some politically active conservative Christians to seek influence or control over secular civil government through political action, especially in the United States. It is also known as subjectionism.
The word Dominionism comes straight from the German word for Nazi rule. Nazi-herrschaft translates directly to "Nazi dominionism" and commonly refers to the religious aspect of Nazi rule. Many liberals have written about how Nazis supposedly pushed Christian dominion theology. Nazi dominion is the origin of this new terminology for US Christians.
That second term, subjectionism, refers to Nazi Christians subjecting the world to their culture and religion. See Der Spiegel.