The Met believes the thefts are linked and have impacted multiple boroughs in the city.
The man was arrested on Wednesday, May 24 in Plumstead.
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Commander Simon Crick of the North East Basic Command Unit – which is home to mosques affected by the crimes – said: “This series of thefts is believed to be linked, and has impacted numerous people in boroughs across London.
“It is good progress that an arrest has been made and we will wait to hear the outcome of this development from the detectives who are investigating.
“I have been liaising with our partners from the Newham Muslim Forum and I know that my colleagues in the other areas of London are also in touch with people in the community who have been affected.”