{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:03Z","timestamp":1753893843754,"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>We define an excedance number for the multi-colored permutation group i.e. the wreath product $({\\Bbb Z}_{r_1} \\times \\cdots \\times {\\Bbb Z}_{r_k}) \\wr S_n$ and calculate its multi-distribution with some natural parameters. We also compute the multi\u2013distribution of the parameters exc$(\\pi)$ and fix$(\\pi)$ over the sets of involutions in the multi-colored permutation group. Using this, we count the number of involutions in this group having a fixed number of excedances and absolute fixed points.<\/jats:p>","DOI":"10.37236\/942","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T23:51:38Z","timestamp":1578700298000},"source":"Crossref","is-referenced-by-count":1,"title":["Statistics on the Multi-Colored Permutation Groups"],"prefix":"10.37236","volume":"14","author":[{"given":"Eli","family":"Bagno","sequence":"first","affiliation":[]},{"given":"Ayelet","family":"Butman","sequence":"additional","affiliation":[]},{"given":"David","family":"Garber","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2007,3,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r24\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v14i1r24\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T23:04:19Z","timestamp":1579302259000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v14i1r24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3,5]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2007,1,3]]}},"URL":"https:\/\/doi.org\/10.37236\/942","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2007,3,5]]},"article-number":"R24"}}