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Abstract
In the last few years, many papers have proposed cryptosystems based on group theoretic concepts. Group-based cryptosystems have not yet led to practical schemes to rival RSA and Diffie–Hellman, but the ideas are interesting and the different perspective leads to some worthwhile group theory. The cryptographic literature is vast and diverse, and it is difficult for a newcomer to the area to find the right sources to learn from. How group theory can be used in cryptography is described through this paper. The main purpose in cryptography is that the system developed for communication must be secure. The security of the system depends on the method on which the algorithm is based. In this paper we discuss the methods based on group theory