What was the relation between Petain, Vichy France and the Dreyfus affair?


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What was the relation between Petain, Vichy France and the Dreyfus affair? After reading Louis Barthas account of the Great War, France appears to me as a country split in two main factions, the anti-semitic conservative faction to which the most part of officer corps belonged and the socialist faction. I can see the Dreyfus affair as a reflection of this division and certainly the antisemitic politics of Vichy France raises suspicions of being related. Could you explain more about this topic and what happened after the German defeat? Was this split related to the chaos between the French government and the military that provoked the French defeat? Was de Gaulle related to any of this factions? No wonder that after reading Barthas I have no sympathy whatsoever to the French officer corps and I consider them as the main responsible off the defeat, after all their arrogance generated a great mistrust to the military amongst french population which prevented their politics to assign more resources to the army.