Officers from British Transport Police have released images of three individuals they would like to speak to.
It is believed these people may be able to assist officers with the enquiries following a number of incidents of violence and disorder which took place on September 7.
These incidents occurred on board the 11.15pm Glasgow Central to East Kilbride Scotrail service, and at Hairmyres station.
Anyone with information should contact British Transport Police by sending a text to 61016 or by calling 0800 40 50 40, quoting reference 1900078835.
Or you can contact Crimestoppers anonymously on 0800 555 111.