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According to Wikipedia, Group Signatures unforgeability means only members of the group can create valid group signatures. What I am not clear on is whether that means the manager is also unable to create signatures on behalf of any members of the group.

  1. Are there group signatures where the manager gives out the secret keys, or it is split to another party, but there's no way for them to forge signatures?
  2. Is the manager usually assumed to be trusted in some way, maybe he can't be corrupted so secret keys of group members can never be learned?
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