In this work we will study partial group actions. We will begin by looking at the structure of restrictions of group actions, which will serve to motivate the definition of partial group actions. Then we will show, that each partial group action can be globalised, that is, we will show that every partial group action is a restriction of a group action. At the end we will look at the topology that arises when we globalise a partial action of a topological group on a topological space.
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