All three of these Jewish groups began in the Middle East, according to the map provided. You can see that they originate from areas near Egypt and Arabia. But over time, the Jews spread to different parts of the world such as the Roman Jews going to Italy whilst the Exile going to Mesopotamia and Egypt.
Unfortunately, I can't answer that last question as I don't know much information about the Torah or what role it played during that time period. I hope this helps you someway regardless! Good luck! :)
It was hitler’s new regime in Europe. His new order grew from from his racial obsessions; inferior races pushed aside made to live in ghettos or concentration camps; death camps were the final solution.
B. The tale of Genji
Hope this helps!!