Final answer:
The agreement at the genocide convention established that genocide is recognized as an international crime, reflecting the commitment to prevent and punish such actions by the international community.
Step-by-step explanation:
The outcome of the agreement at the genocide convention was that genocide is recognized as an international crime. This was an important development as it followed the aftermath of World War II and the Nuremberg Trials, which sought justice for horrendous war crimes, including crimes against humanity. After the Holocaust, and subsequent genocides, the international community recognized the need to codify laws that would make perpetrating genocide an international offense and not merely a domestic issue. Thus, treaties like the Geneva Conventions and the establishment of the International Criminal Court (ICC) underline the commitment of the UN member states to prevent and punish genocide.