Women are the main abusers of abused children because it is mostly women who are the sole care giver?

Women generally spend more time with the kid, so they have more opportunity to be abusive. If you do a fair test in which the fathers and the mothers have an equal amount of time to do the same things for the kid, and it turns out that the mothers are more likely to be abusive, I will believe you. If this is the case, child custody laws should be 50/50.