{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:45Z","timestamp":1753893825977,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $\\mathcal{S}$\u00a0be a \u00a0linear space with 106 points,\u00a0 with lines of\u00a0 size 6,\u00a0 and let $G$ be an automorphism group of $\\mathcal{S}$.\u00a0 We prove that $G$ cannot be point-transitive. In other words, there exists no point-transitive 2-(106, 6, 1) designs.<\/jats:p>","DOI":"10.37236\/3519","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:08:18Z","timestamp":1578704898000},"source":"Crossref","is-referenced-by-count":0,"title":["Non-Existence of Point-transitive 2-(106, 6, 1) Designs"],"prefix":"10.37236","volume":"21","author":[{"given":"Haiyan","family":"Guan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shenglin","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2014,3,17]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i1p58\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i1p58\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:01:49Z","timestamp":1579258909000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i1p58"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3,17]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2014,1,13]]}},"URL":"https:\/\/doi.org\/10.37236\/3519","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2014,3,17]]},"article-number":"P1.58"}}