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There are many security issues on P2P network for its open and shared features. A distributed key management scheme is proposed by combining SGC-PKC with secret sharing scheme, security of the scheme is analyzed. The performance bottleneck and single point failure problems are resolved by distributing part of the KGC functions to the network nodes. At the same time, KGC participation is not needed for public key authentication, the bandwidth of P2P network communications is reduced.