A summary of today's developments
One of these people is in a critical condition in hospital, while the other two suffered minor injuries.
Two of the victims were university students and were named locally as Barnaby Webber, a cricketer from Taunton, and his friend Grace Kumar.
A 31-year-old man is in custody and police are not currently looking for any further suspects.
Chief constable Kate Meynell said officers believe the suspect stole the man’s van and used it to drive into members of the public on Milton Street.
Grace Kumar has been named locally as the second victim of the attacks as she walked back to her University of Nottingham accommodation with her friend Barnaby Webber, a cricketer from Taunton, who was also killed.