Yes, there were several trials in the aftermath of World War 2. The first (?) was the Bergen-Belsen Trial in August-November 1945. The Nuremberg Tribunal was also concerned with war crimes and crimes against humanity. One of the most noteworth trials was that in Warsaw in April 1947 of Rudolf Hoess, who was Commandant of Auschwitz from May 1940 till November 1943. Some of the Auschwitz guards, such as Maria Mandel, were tried a little later.
Capital punishment is being put to death by the state or country after a legal trial.
No, but some Nazi leaders were put on trial and convicted of war crimes.
Some were put on trial and convicted of various crimes. A few were hanged for murder.
Anyone in which the Nazis felt they "Needed" to put in there.
Some of the perpetrators were put on trial, convicted and hanged. However, many changed their names, etc and 'lived happily ever after'.
People were put in gas chambers and were starved to death. It is said that the very young infants were used as human shooting targets
Yes, anyone who commits a crime can be tried for it; nobody is above the law.
Adolf Hitler was put on trial for treason in 1924.
A holocaust can also be called genocide.
He was put on trial for Libel.
To punish them for international aggression.
This is not a simple answer: There were many people tried and punished for their involvement, there were many who died before they could be put on trial and there were many who escaped before they could be brought to trial.The Holocaust was initiated by the Nazis, but as it grew, non Nazis also helped and also non Germans.