LUCKNOW, India (AFP) - A teenage girl has died in northern India one week after a gang of men set her on fire as punishment for resisting their attempts to molest her, the police said on Wednesday.

The police have arrested four men over the attack which occurred after the 15-year-old girl stepped outside her home in Uttar Pradesh state on Nov 16.

The girl's family has told the police that six men dragged her back inside the house after she objected to their lewd gestures and attempts to touch her, local superintendent R. K. Sahu said. The men then doused her in kersosene and set her on fire as punishment in Shahjahanpur village, 277km south-east of New Delhi, according to the family.

The girl was taken to a local hospital but died of her injuries on Sunday night, the officer said. "Four of the six accused have been arrested. All of them belong to the same village and are of the same caste as that of the girl," Supt Sahu said.

The police are hunting for the other two accused.

The horrific incident is the latest in India where sex attacks on women continue to occur on an almost daily basis despite an international outcry over the fatal gang-rape of a student in 2012.

India has faced intense scrutiny in recent years in the wake of a series of high-profile rapes that have unleashed a wave of public anger against its violent treatment of women.

The fatal gang rape of a 23-year-old student on a bus in Delhi in December 2012 sparked massive street protests and led to tougher laws for sexual offenders.

But rapes routinely continue to hit the headlines across the country.