I have read several times that you claim he "beat" that woman. I don't think it was even described as a "beating" on the police report, but I could be wrong. He has been accused of choking her, possibly biting her, pushing her down some stairs (bruises and abrasions), but not actually striking her. That may sound like I'm splitting hairs, but maybe he pushed her, she was wearing high heels, she stumbled and just happened to fall down some stairs. There is a difference. There is a difference between pushing, choking, biting and actually striking. Maybe she was trying to poke his eye out and he bit her arm in self defense. The point is, we don't know. That is Dolson's job to find out.
Obviously something happened on that night that went past most social and moral boundaries. If IU were to hire him and something even remotely like this happened again, it would be a horrible look on the University, no doubt. I for one, don't think the fact the charges were dropped has one thing to do with Dolson's/IU's decision but it's theirs to make.