Between 3.20am and 4.20am on 13 June fuel was reported stolen from fuelling stations in Carlton Road, Sneinton.
At around 5.30am police were called to Kenia Close, Carlton, after residents saw a number of men trying doors in the area. They then made off in a green Peugeot.
A short time later, officers stopped a car in Hucknall Road.
Three people were arrested on suspicion of theft.
They were then further arrested on suspicion of burglary in Kent Road, Porchester, attempt burglary in Penanth Rise, Mapperley, burglary with intent at Kenia Close, Porchester and various other thefts .
A wallet linked to a burglary in Porchester on 1 June was recovered.
Two 17-year-old men and a 16-year-old boy remain in police custody.