The world of computer networks and information technology is evolving at an enormous rate. In which cloud computing is one of the few methods to provide users with the data, resources in a more efficient way. Cloud computing is seen as a more advanced version of computer grid inclusive of virtualization and resources sharing. Distributed computing over the internet is another new innovative technique using storage and the internet as one. "The Cloud" is an idea used to portray the virtual idea of advanced stockpiling, which can mean the information is put away on workers genuinely positioned in numerous geological areas. Cloud computing is the method for getting to a common pool of configurable assets that can be quickly given, utilized and delivered with insignificant exertion with respect to clients or specialist organizations. Cloud computing is arising at the combination of three significant patterns—administration direction, virtualization and normalization of storing through the Internet

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This expository article revolves around the question to find short presentations of finite simple groups. This subject is one of the most active research areas of group theory in recent times. We bring together several known results on two-generation and (2, 3)-generation of finite simple groups and how it impacts computational group theory.2010 Mathematics Subject Classification. 20D06, 20F05.