"dominant crime" is correct and usable in written English.
You can use it when you are referring to a type of criminal activity that is especially prevalent or has the greatest share of criminal activity in a certain region. For example, "Drug trafficking is the dominant crime in this part of the city."
One of the dominant organized-crime figures on Long Island during the nineteen-seventies and eighties was a former garment manufacturer named Salvatore Avellino, and Avellino's story is an example of the crooked ladder in action.
Nesbø argues that Beck is the source of the now dominant wave of Scandinavian crime stories: a Nordic Holmes.
Now 83, the South Boston native emerged dominant in the early 1970s crime scene after out-muscling rivals in a violent turf war.
But with the focus of the campaign on Belize-Guatemala relations, other once-dominant issues such as crime, poverty, environmental conservation, the nationalization of several major industries, and the use of foreign aid have become back burner issues.
The New York mob boss often called "the last don" was convicted yesterday in a federal racketeering case that centered on charges that his bloody 25 years as the dominant power in the Bonanno crime family included seven murders and a host of other crimes.
It is as if these genres were intimately connected ("Crime", the other dominant genre, is off in a room elsewhere).
A dominant theme is that organized crime has diversified internationally and become ever more intertwined with political elites in home countries, making it especially hard to combat.
The Gambino crime organization, once dominant among the five New York Mafia families, has not disappeared but has waned steadily in recent years with a series of defections and criminal convictions.
I don't know how the political genie can be put back in the bottle … My sense is about the way in which crime became a dominant issue in US politics and they have much less distinction between the operational independence of police and the way police chiefs are appointed and dismissed … We have some difficulty.
Social and environmental theories of crime have been dominant in criminology and in public policy while biological theories have been seen as outdated and discredited.
