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The petition, which Say it Loud hopes to present to the Department for Education, comes after several recent scandals involving male students at UK universities.
Oxford Brookes Union Rugby Football Club was investigated in December over claims that players had collected pictures of female students posing nude, which were then rated by their team-mates.
One post, seen by MailOnline, purported to tell one of the women you ranked third .
Oxford Brookes University last year said it was investigating the claims as a matter of urgency while the rugby club said it was also looking into the allegations.
News of the alleged scandal emerged when a rugby club member posted a direct message on an Instagram page called @brookesconfessions, a gossip account for students to confess about what they have been getting up to.