{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:42Z","timestamp":1753893822270,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>We construct sequencings for many groups that are a semi-direct product of an odd-order abelian group and a cyclic group of odd prime order.\u00a0 It follows from these constructions that there is a group-based complete Latin square of order $n$ if and only if $n \\in \\{ 1,2,4\\}$ or there is a non-abelian group of order $n$.<\/jats:p>","DOI":"10.37236\/8542","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T02:04:59Z","timestamp":1578621899000},"source":"Crossref","is-referenced-by-count":0,"title":["The Spectrum of Group-Based Complete Latin Squares"],"prefix":"10.37236","volume":"26","author":[{"given":"M. A.","family":"Ollis","sequence":"first","affiliation":[]},{"given":"Christopher R.","family":"Tripp","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,7,19]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p15\/7875","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p15\/7875","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T23:11:08Z","timestamp":1579216268000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i3p15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,19]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/8542","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,7,19]]},"article-number":"P3.15"}}