This document discloses a solution where power management of devices of a wireless networks are controlled in connection with an absence period. According to an aspect, an apparatus determines at least one allowable power management mode for at least a second apparatus; causes transmission of a first frame indicating the at least one allowable power management mode; and causes transmission of an indication of an absence period during which it is not possible to transfer frames with the apparatus, wherein the indication is provided in at least one of the first frame and a second frame. The first frame configures at least the second apparatus to be ready to communicate with the apparatus at the end of the absence period in a case where the at least one allowable power management mode indicates a first power management mode.