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It is often frustrating for drivers to find parking spaces, and parking itself is costly in almost every major city in the world. The search for a parking place is a task which can waste a lot of time and affect the efficiency of economic activities, social interactions, and the health of the environment. The planners of transport and city traffic must pay close attention to this issue in order to achieve an efficient management of mobility in smart cities. This work is intended to serve as an aid in the search for parking seeking the general interest of a group of drivers. We present an intensive description of the parking slots assignment problem for groups and apply it to a real case study. Also, we propose a hybrid genetic algorithm for solving this case and we compare it with three other algorithms in order to evaluate its performance.