What conflicts emerged between the former Allies after the end of WWII?

The major conflict that emerged between the former allies
was the Cold War.  It was really starting to emerge even toward the end of World War
II.

The problem was that the Soviet Union and the Western
Allies did not trust each other at all.  The Soviets thought the West was out to
encircle and destroy them.  The West thought that the Soviets were going to try to
dominate the world.  This led to conflict very soon after WWII
ended.

Later on, there would be conflict between the three
Western allies, but this would not be until quite a bit later.