They collected 2,000 signatures on a 'petition' demanding that women be allowed to join the club.
The organization 'petitioned' the government to investigate the issue.
They've denied your 'petition'. [=the court will not hear your case]
(..) - Oh, no, Cady. - Why would she do that? Because she's a life-ruiner. She ruins people's lives. When we were , she made people sign this petition - saying that Janis was... - Damian! Please! Look, she's not gonna get away with this again, OK? - We're gonna do something. (..)2004 Mean Girls