How did world war 2 end and the cold war begin?

The Holocaust took place in the broader context of World War II. Still reeling from Germany's defeat in World War I, Hitler's government envisioned a vast, new empire of "living space" (Lebensraum) in eastern Europe. The realization of German dominance in Europe, its leaders calculated, would require war.

1939

After securing the neutrality of the Soviet Union (through the August 1939 German-Soviet Pact of nonaggression), Germany started World War II by invading Poland on September 1, 1939. Britain and France responded by declaring war on Germany on September 3. Within a month, Poland was defeated by a combination of German and Soviet forces and was partitioned between Nazi Germany and the Soviet Union.

1940

The relative lull in fighting which followed the defeat of Poland ended on April 9, 1940, when German forces invaded Norway and Denmark. On May 10, 1940, Germany began its assault on western Europe by invading the Low Countries (Netherlands, Belgium, and Luxembourg), which had taken neutral positions in the war, as well as France. On June 22, 1940, France signed an armistice with Germany, which provided for the German occupation of the northern half of the country and permitted the establishment of a collaborationist regime in the south with its seat in the city of Vichy.

With German encouragement, the Soviet Union occupied the Baltic states in June 1940 and formally annexed them in August 1940. Italy, a member of the Axis (countries allied with Germany), joined the war on June 10, 1940. From July 10 to October 31, 1940, the Nazis waged, and ultimately lost, an air war over England, known as the Battle of Britain.