{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:21Z","timestamp":1753893861201,"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>Subgroups of the symmetric group $S_n$ act on $C^n$ (the $n$-fold product $C \\times \\cdots \\times C$ of a chain $C$) by permuting coordinates, and induce automorphisms of the power $C^n$. For certain families of subgroups\u00a0of $S_n$, the quotients defined by these groups can be shown to have symmetric chain decompositions (SCDs). These SCDs allow us to enlarge the collection of subgroups $G$ of $S_n$ for which the quotient $\\mathbf{2}^n\/G$ on the Boolean lattice $\\mathbf{2}^n$ is a symmetric chain order (SCO). The methods are also used to provide an elementary proof that quotients of powers of SCOs by cyclic groups are SCOs.<\/jats:p>","DOI":"10.37236\/5073","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T23:54:20Z","timestamp":1578700460000},"source":"Crossref","is-referenced-by-count":0,"title":["Symmetric Chain Decompositions of Quotients by Wreath Products"],"prefix":"10.37236","volume":"22","author":[{"given":"Dwight","family":"Duffus","sequence":"first","affiliation":[]},{"given":"Kyle","family":"Thayer","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2015,5,22]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p35\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v22i2p35\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:16:21Z","timestamp":1579256181000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v22i2p35"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5,22]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2015,4,14]]}},"URL":"https:\/\/doi.org\/10.37236\/5073","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2015,5,22]]},"article-number":"P2.35"}}