Abstract-1 In this contribution we exploit the benefits of combining the diversity gains arising from cooperation, multiple propagation paths and from the opportunistic scheduling of multiple users, for the sake of supporting a power-efficient single-relay assisted single-carrier frequencydivision multiple-access uplink, where each relay supports a single user communicating over dispersive channels subject to large-scale fading. Based on the proposed joint frequency-domain equalisation and diversity combining aided receiver relying on the minimum mean-square error criterion, two different relay selection schemes designed for singleuser and multi-user scenarios are investigated, which employ imperfect power control. Our results show that at a bit error ratio of 10 −4 , the proposed receiver is capable of saving 2dB power by achieving a higher cooperative diversity gain than the conventional receiver. Moreover, an approximately 6.8dB and 8dB transmit power reduction are attainable by invoking the proposed selective diversity oriented single-user and multiuser relay selection schemes, respectively. Most importantly, a powerefficiency improvement is gleaned from our multi-user relay selection scheme, which avoids the effects of deep shadowing and provides 9.7dB power reduction compared to the non-cooperation scenario.