A group management apparatus which manages a group in which one or a plurality of information processing apparatuses connect to each other by wireless communication detects the position of an information processing apparatus and determines whether the information processing apparatus exists in a predetermined range. When determining that the information processing apparatus exists in the predetermined range, the group management apparatus notifies the information processing apparatus of an encryption key to be used in the group. Upon detecting, based on the position detection result, that the number of information processing apparatuses existing in the predetermined range has changed, the group management apparatus updates the encryption key.