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The authentication and privacy of a group member is important in multicast communication.This paper proposes a privacy-preserving authenticated group-key management protocol for the Mobile Peer-to-Peer Network (MP2PN).The MP2PN contains some super peers and each super peer controls a subgroup composed of regular peers.An efficient attribute-based signature based on Cipertext-Policy Attribute-Based Encryption (CP-ABE) is proposed and used in this group-key management protocol to authenticate a peers attributes and identity.A peer can be described by a set of attributes or one unique special identity attribute.Peers that have some attributes in common can form a group and communicate with each other anonymously and securely.Any super peer can initiate a group and act as a group controller.The group controller can authenticate a peers attributes and identity as well as remove malicious peers.Any peer with attributes that matches the access structure can join the group and provide its input to form the group key.The proposed protocol provides backward and forward secrecy.The simulation results show that this protocol is applicable for mobile devices and can meet the MP2PN requirements of group communication.