{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:51Z","timestamp":1753893831529,"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>Canfield and Mason have conjectured that for all subgroups $G$ of the automorphism group of the\u00a0Boolean lattice $B_n$ (which can be regarded as the symmetric group $S_n$),\u00a0the quotient order $B_n\/G$ is a symmetric chain order. \u00a0We provide a straightforward proof of a generalization of a result of K. K. Jordan: namely,\u00a0$B_n\/G$ is an SCO whenever $G$ is generated by powers of disjoint cycles. In addition, the\u00a0Boolean lattice $B_n$ can be replaced by any product of finite chains. The symmetric chain decompositions of Greene and Kleitman provide the basis for partitions of these quotients.<\/jats:p>","DOI":"10.37236\/2430","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T22:27:13Z","timestamp":1578695233000},"source":"Crossref","is-referenced-by-count":1,"title":["Some Quotients of Chain Products are Symmetric Chain Orders"],"prefix":"10.37236","volume":"19","author":[{"given":"Dwight","family":"Duffus","sequence":"first","affiliation":[]},{"given":"Jeremy","family":"McKibben-Sanders","sequence":"additional","affiliation":[]},{"given":"Kyle","family":"Thayer","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,6,20]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p46\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p46\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T17:33:24Z","timestamp":1579282404000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i2p46"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,20]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2012,4,7]]}},"URL":"https:\/\/doi.org\/10.37236\/2430","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2012,6,20]]},"article-number":"P46"}}