The present invention relates to a wireless communication system, and a method for peer to peer (P2P) group formation is disclosed. To this end, the method for P2P group formation may include transmitting, from a first wireless device to a second wireless device, a provision discovery request frame including connection capabilities of the first wireless device, and receiving, at the first wireless device, from the second wireless device, a provision discovery response frame including connection capabilities of the second wireless device. Here, the connection capabilities may include indicating at least one of: New in order to initiate a new group, Group Owner in order to become a group owner, and Client in order to become a client; and the first wireless device determines the group owner of a P2P group on the basis of the first connection capability and the second connection capability.