RAIPUR, India — The Indian authorities on Saturday arrested 15 people in connection with the gang rape and killing of a teenage girl, the latest in a recent string of high-profile crimes against women that have set off heated debates about the handling of sexual assaults in the country.

The authorities said a group of men raped the 16-year-old girl multiple times after kidnapping her from Chatra, a village in the state of Jharkhand, in eastern India, while she was attending a family member’s wedding on Thursday.

When the girl was let go the next day, the authorities said, village leaders imposed a fine of about $750 on Dhanu Singh Bhuiyan, the young man who was said to have orchestrated her abduction.

That ruling angered Mr. Bhuiyan and some of the other men in the community, and they beat the girl’s family for complaining about the treatment of their daughter.