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So far, some access control schemes for peer-to-peer network have been proposed. However, previously some schemes can only prevent unauthorized member from joining peer-to-peer network, and cannot revoke malicious members from peer-to-peer network. In this paper, a secure access control scheme based on group is proposed for peer-to-peer network. In our scheme, we employ the polynomial function and access function as basic means of constructing access control procedure in order to avoid the need for public key cryptography. Our scheme uses authentication, admission and revocation control to provide security services for peer-to-peer network. More importantly, our scheme robustly adds or revokes any group member without changing secret keys of other members. Moreover, our scheme avoids massive message to exchange for authentication and establish share key between two members. The analysis of security and performance shows that our scheme is secure, efficient and practical scheme for peer-to-peer network.