German police say they have arrested a young couple on suspicion of involvement in the slaying of a Chinese student whose body was found earlier this month in the eastern town of Dessau-Rosslau with severe head injuries.

Prosecutors told the dpa news agency Tuesday the man and woman, both 20, had turned themselves in and said they had met with the 25-year-old female student for consensual sex.

The victim, whose name has not been released, was reported missing by friends after going out for a jog May 11. Her body was found about two days later less than 100 meters (yards) from her home.

Prosecutors say the crime scene was a former apartment occupied by the couple in custody and they plan to bring murder charges.