{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:09Z","timestamp":1753893789722,"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>P\u00e1lfy proved that a group $G$ is a CI-group if and only if $\\vert G\\vert = n$ where either $\\gcd(n,\\varphi(n)) = 1$ or $n = 4$, where $\\varphi$ is Euler's phi function. We simplify the proof of \"if $\\gcd(n,\\varphi(n)) = 1$ and $G$ is a group of order $n$, then $G$ is a CI-group\".<\/jats:p>","DOI":"10.37236\/1154","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T04:56:25Z","timestamp":1578718585000},"source":"Crossref","is-referenced-by-count":0,"title":["On the Proof of a Theorem of P\u00e1lfy"],"prefix":"10.37236","volume":"13","author":[{"given":"Edward","family":"Dobson","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2006,10,19]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1n16\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v13i1n16\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T04:07:22Z","timestamp":1579320442000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v13i1n16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,10,19]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2006,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/1154","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2006,10,19]]},"article-number":"N16"}}