{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,25]],"date-time":"2026-04-25T07:17:46Z","timestamp":1777101466934,"version":"3.51.4"},"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>The group of alternating colored permutations is the natural analogue of the classical alternating group, inside the wreath product $\\mathbb{Z}_r \\wr S_n$. We present a 'Coxeter-like' presentation for this group and compute the length function with respect to that presentation. Then, we present this group as a covering of $\\mathbb{Z}_{\\frac{r}{2}} \\wr S_n$ and use this point of view to give another expression for the length function. We also use this covering to lift several known parameters of $\\mathbb{Z}_{\\frac{r}{2}} \\wr S_n$ to the group of alternating colored permutations.<\/jats:p>","DOI":"10.37236\/3974","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T20:04:50Z","timestamp":1578686690000},"source":"Crossref","is-referenced-by-count":3,"title":["On the Group of Alternating Colored Permutations"],"prefix":"10.37236","volume":"21","author":[{"given":"Eli","family":"Bagno","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Garber","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Toufik","family":"Mansour","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2014,5,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i2p29\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i2p29\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:59:26Z","timestamp":1579240766000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i2p29"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,5,9]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2014,3,31]]}},"URL":"https:\/\/doi.org\/10.37236\/3974","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,5,9]]},"article-number":"P2.29"}}