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]
(..) We have a little problem, girls. It's called Lloyd Buttinger. - What about him? - This nasty rumor got started... and now these girls are signing a petition to have him fired. Wow. - What's your point, Dana? - Our point is... you girls started it, so you'd better stop it. (..)1996 Foxfire