The London School of Economics said Monday that it was investigating allegations that a Nazi-themed drinking game during a student union ski trip to a French resort last month led to a brawl in which a Jewish student’s nose was broken. The university, one of Britain’s most renowned academic institutions, said in a statement that it was “prepared to take disciplinary action.” The university’s student newspaper said the drinking game involved arranging playing cards on a table in the shape of a swastika, and that players were required to “salute the Führer.”