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We propose a transmission scheme for the receiver cooperative wireless channel with two source-destination pairs, in which the receivers help each other by exchanging information. We decompose the channel into two orthogonal frequency bands. In each band, it reduces to a three-user multiple-access channel (MAC). Based on an encoding scheme for MAC with common information, a decode-and-forward-type transmission scheme is constructed. The resulting achievable rate region is numerically compared with an information-theoretic outer bound and two other transmission schemes.