These are Mexican immigration law questions that only Mexican immigration lawyers can answer. Not here.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.
Where did you come from, the US? Are you asking if you can get a US green card based on domestic violence that occurred at the hands of a US citizen spouse? It is not clear exactly what you are trying to do. It sounds like you may be asking about VAWA or U visa status, but we need more information.