Women commit the vast majority of domestic violence:

~50% of domestic violence is reciprocal, perpetrated by both partners.

Of the ~50% that is nonreciprocal, women are perpetrators in ~70% (!) of cases.

"Women’s greater perpetration of violence was reported by both women and by men."

Moreover, "relationships with reciprocal violence resulted in more frequent violence (by women only) and a greater likelihood of injury caused by both male and female perpetrators."

So, even in mutually-abusive relationships, women are still more violent than men!

Source: Differences in Frequency of Violence and Reported Injury Between Relationships With Reciprocal and Nonreciprocal Intimate Partner Violence.
https://pmc.ncbi.nlm.nih.gov/articles/PMC1854883/