The Socialist Group was a short-lived Trotskyist group in Britain during the mid 1980s. Its publication was "Socialist Viewpoint".
It consisted of a group around best-known member Alan Thornett, who had been expelled or split from Sean Matgamna's Socialist Organiser Alliance/Workers Socialist League in 1984. It had significant bases in Oxford and Coventry.
It went on to fuse with the International Group to become the International Socialist Group in 1987.
References
Socialist Group (UK) Wikipedia(Text) CC BY-SA