It's recorded! You are done!
Somewhere in the application of green card, I-140 or I485, you will be checked. Well, it's public record!
If you lie now, or lie somewhere in the applications of visa, green card etc. it becomes a more serious crime!
Many people's I-485s were denied because of domestic violence like yours! Well, you are done for green card application!
If you tell me more details, I may help you! Serious!