When an ad hoc group call is initiated, or at a subsequent time but before the group call is terminated, a call originator may set a parameter to establish a time limit. The time limit is invoked when the call originator drops from the group call. The time limit may be set to zero time indicating that all participants will be disconnected and the group call will be terminated immediately upon exit of the call originator. The time limit may also be set to a predetermined amount of time, which indicates that the group call may remain up until the predetermined amount of time expires. If no parameter to establish a time limit is selected, the group call may remain indefinitely even after the originator exits the group call.