{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,6]],"date-time":"2025-11-06T16:02:54Z","timestamp":1762444974067,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>This paper deals with flag-transitive non-symmetric 2-designs with\u00a0$(r,\\lambda)=1$. We prove that if $\\mathcal D$ is a non-trivial\u00a0non-symmetric $2$-$(v,k,\\lambda)$ design with $(r,\\lambda)=1$ and $G\\leq Aut(\\mathcal D)$ is flag-transitive with $Soc(G)=A_n$ for $n\\geq 5$, then $\\mathcal D$ is a $2$-$(6,3,2)$ design, the\u00a0projective space $PG(3,2)$, or a $2$-$(10,6,5)$ design.<\/jats:p>","DOI":"10.37236\/4664","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:14:57Z","timestamp":1578683697000},"source":"Crossref","is-referenced-by-count":13,"title":["Flag-Transitive Non-Symmetric 2-Designs with $(r,\\lambda)=1$ and Alternating Socle"],"prefix":"10.37236","volume":"22","author":[{"given":"Shenglin","family":"Zhou","sequence":"first","affiliation":[]},{"given":"Yajie","family":"Wang","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,4,14]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p6\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p6\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:22:56Z","timestamp":1579238576000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i2p6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,14]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,4,14]]}},"URL":"https:\/\/doi.org\/10.37236\/4664","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,4,14]]},"article-number":"P2.6"}}