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This paper provides a description of a new protocol for group authentication. The demand for anonymity have grown with a recent development of networking. On the other hand, all service providers, bound by the legal regulations have to be able to trace an entity that performed every single action, sent a specific data and so on. Finding a reasonable trade-off between these two requirements is rather hard. In this paper, we propose a protocol that provides a user within a group with the anonymity (for outside world the users within a group cannot be identified) and when needed provide a trusted authority with a possibility to identity each user.