{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T13:48:38Z","timestamp":1772027318400,"version":"3.50.1"},"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 aim of this note is a classification of all\u00a0nice and all inductively factored\u00a0reflection arrangements.\u00a0It turns out that apart from the supersolvable instances\u00a0only the monomial groups $G(r,r,3)$ for $r \\ge 3$ give rise to nice reflection arrangements.\u00a0As a consequence of this and of the classification of all inductively free reflection arrangements from Hoge and R\u00f6hrle (2015)\u00a0we deduce that the class of all inductively factored reflection arrangements coincides with the class of all\u00a0supersolvable reflection arrangements. Moreover, we extend these classifications to hereditarily factored and hereditarily inductively factored reflection arrangements.<\/jats:p>","DOI":"10.37236\/5331","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T21:24:11Z","timestamp":1578691451000},"source":"Crossref","is-referenced-by-count":3,"title":["Nice Reflection Arrangements"],"prefix":"10.37236","volume":"23","author":[{"given":"Torsten","family":"Hoge","sequence":"first","affiliation":[]},{"given":"Gerhard","family":"R\u00f6hrle","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2016,4,15]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i2p9\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v23i2p9\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:30:13Z","timestamp":1579239013000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v23i2p9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,15]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2016,3,31]]}},"URL":"https:\/\/doi.org\/10.37236\/5331","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4,15]]},"article-number":"P2.9"}}