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Only a small fraction of the galaxies (13\u00a0per\u2009cent; 6\/47) are found to be far-ultraviolet (FUV) bright, with FUV to near-infrared colours indicative of recent active star formation (NGC\u00a0252, NGC\u00a0924, NGC\u00a0940, NGC\u00a01106, NGC\u00a07252, and ESO\u00a0507-25). These systems are lenticulars presenting the highest FUV-specific star formation rates in the sample (sSFRFUV &amp;gt; 5\u00a0\u00d7\u00a01013\u00a0yr\u22121), significant cold gas reservoirs [M(H2)\u00a0=\u00a00.5-61\u00a0\u00d7\u00a0108\u00a0M\u2299], reside in X-ray faint groups, and none hosts a powerful radio active galactic nucleus (AGN) (P$_{1.4\\mathrm{ GHz}}\\, \\lt 10^{23}$ W\u00a0Hz\u22121). The majority of the group-dominant galaxies (87\u00a0per\u2009cent; 41\/47) are FUV faint, with no significant star formation, classified in most cases as spheroids based on their position on the infrared star-forming main sequence (87\u00a0per\u2009cent; 46\/53). Examining the relationships between radio power, SFRFUV, and stellar mass, we find a lack of correlation that suggests a combination of origins for the cool gas in these galaxies, including stellar mass loss, cooling from the intra-group medium (IGrM) or galaxy halo, and acquisition through mergers or tidal interactions. X-ray bright systems, in addition to hosting radio powerful AGN, have a range of SFRs but, with the exception of NGC\u00a0315, do not rise to the highest rates seen in the FUV bright systems. We suggest that central group galaxy evolution is linked to gas mass availability, with star formation favoured in the absence of a group-scale X-ray halo, but AGN jet launching is more likely in systems with a cooling IGrM.<\/jats:p>","DOI":"10.1093\/mnras\/stab3699","type":"journal-article","created":{"date-parts":[[2021,12,20]],"date-time":"2021-12-20T20:22:25Z","timestamp":1640031745000},"page":"4191-4207","source":"Crossref","is-referenced-by-count":16,"title":["The Complete Local-Volume Groups Sample \u2013 IV. Star formation and gas content in group-dominant galaxies"],"prefix":"10.1093","volume":"510","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3104-6154","authenticated-orcid":false,"given":"Konstantinos","family":"Kolokythas","sequence":"first","affiliation":[{"name":"Centre for Space Research, North-West University , Potchefstroom 2520, South Africa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3295-6595","authenticated-orcid":false,"given":"Sravani","family":"Vaddi","sequence":"additional","affiliation":[{"name":"Arecibo Observatory, NAIC , HC3 Box 53995, Arecibo, Puerto Rico, PR 00612, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5671-6900","authenticated-orcid":false,"given":"Ewan","family":"O\u2019Sullivan","sequence":"additional","affiliation":[{"name":"Center for Astrophysics | Harvard\u00a0& Smithsonian , 60 Garden Street, Cambridge, MA 02138, 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