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The use of mobile agents based computing in this emerging world of electronic transaction is becoming increasingly prevalent due to the enormous benefits and services that can be derived from it. They are good for distributed applications and hence an excellent paradigm when group communications are involved. Secure group communication is a significant research area prompted by the growing popularity of many types group based cryptography and collaborative application. In this paper, we focus on secure group communication based on mobile agents. In doing so, we use elliptic curve cryptography (ECC) as key exchange protocol, XOR operation and hash function to achieve provable secure and efficient management for group communication.