{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:39Z","timestamp":1753893819924,"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 $G$ be a finite additive abelian group with exponent $n&gt;1$, and let $a_1,\\ldots,a_{n-1}$ be elements of $G$.\u00a0We show that there is a permutation $\\sigma\\in S_{n-1}$ such that all the elements $sa_{\\sigma(s)}\\ (s=1,\\ldots,n-1)$ are nonzero if and only if$$\\left|\\left\\{1\\leqslant s&lt;n:\\ \\frac{n}da_s\\not=0\\right\\}\\right|\\geqslant d-1\\ \\ \\mbox{for any positive divisor}\\ d\\ \\mbox{of}\\ n.$$When $G$ is the cyclic group $\\mathbb Z\/n\\mathbb Z$, this confirms a conjecture of Z.-W. Sun.\u00a0<\/jats:p>","DOI":"10.37236\/5915","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:29:44Z","timestamp":1578684584000},"source":"Crossref","is-referenced-by-count":1,"title":["On a Permutation Problem for Finite Abelian Groups"],"prefix":"10.37236","volume":"24","author":[{"given":"Fan","family":"Ge","sequence":"first","affiliation":[]},{"given":"Zhi-Wei","family":"Sun","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,2,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i1p17\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i1p17\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:05:53Z","timestamp":1579237553000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i1p17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,3]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2017,1,20]]}},"URL":"https:\/\/doi.org\/10.37236\/5915","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,2,3]]},"article-number":"P1.17"}}