Officers from the British Transport Police (BTP) are appealing for information after a group of men sang religiously offensive songs on a train travelling between Glasgow and Falkirk on Saturday, December 12.
The group of six men had boarded the 8pm service to Edinburgh Waverley at Glasgow Queen and sat in the first class compartment of the rear carriage when the incidents took place.
They left the train when it arrived at Falkirk High station.
Constable Fiona Macaulay, the BTP officer in charge of the enquiry, is appealing for anyone who was on the train or at the stations and has information which can help identify those responsible to contact her.
British Transport Police can be contacted on 0800 40 50 40 or by texting 61016. Information can also be given to the independent charity Crimestoppers on 0800 555 111.