The group were aged between 16 and 19 years-old and are thought to have been travelling to the Rangers v Berwick Rangers cup tie last Tuesday night.
The men are reported to have been drinking and chanting throughout the journey, which arrived at its destination at 6.55pm.
British Transport Police appealed for anyone with information about the identity of the men to get in touch.
Constable Caroline James said: "This obnoxious behaviour is totally unwarranted and other passengers not attending the match should be able to travel without encountering it."
Anyone with information about the incident is asked to contact BTP on 0800 405040 or by texting 61016 quoting reference B9 of 28/08/2013.