{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T20:11:48Z","timestamp":1776802308154,"version":"3.51.2"},"reference-count":13,"publisher":"American Mathematical Society (AMS)","issue":"306","license":[{"start":{"date-parts":[[2017,10,12]],"date-time":"2017-10-12T00:00:00Z","timestamp":1507766400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We prove the freeness conjecture of Brou\u00e9, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.<\/p>","DOI":"10.1090\/mcom\/3142","type":"journal-article","created":{"date-parts":[[2016,5,11]],"date-time":"2016-05-11T09:43:58Z","timestamp":1462959838000},"page":"2005-2023","source":"Crossref","is-referenced-by-count":15,"title":["The BMR freeness conjecture for the 2-reflection groups"],"prefix":"10.1090","volume":"86","author":[{"given":"Ivan","family":"Marin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00f6tz","family":"Pfeiffer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2016,10,12]]},"reference":[{"issue":"3","key":"1","doi-asserted-by":"publisher","first-page":"447","DOI":"10.2969\/jmsj\/02830447","article-title":"Fundamental groups of the spaces of regular orbits of the finite unitary reflection groups of dimension 2","volume":"28","author":"Bannai, Etsuko","year":"1976","journal-title":"J. Math. Soc. Japan","ISSN":"https:\/\/id.crossref.org\/issn\/0025-5645","issn-type":"print"},{"issue":"3","key":"2","doi-asserted-by":"publisher","first-page":"809","DOI":"10.4007\/annals.2015.181.3.1","article-title":"Finite complex reflection arrangements are \ud835\udc3e(\ud835\udf0b,1)","volume":"181","author":"Bessis, David","year":"2015","journal-title":"Ann. of Math. (2)","ISSN":"https:\/\/id.crossref.org\/issn\/0003-486X","issn-type":"print"},{"issue":"3","key":"3","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1080\/10586458.2004.10504537","article-title":"Explicit presentations for exceptional braid groups","volume":"13","author":"Bessis, David","year":"2004","journal-title":"Experiment. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/1058-6458","issn-type":"print"},{"key":"4","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1515\/crll.1998.064","article-title":"Complex reflection groups, braid groups, Hecke algebras","volume":"500","author":"Brou\u00e9, Michel","year":"1998","journal-title":"J. Reine Angew. Math.","ISSN":"https:\/\/id.crossref.org\/issn\/0075-4102","issn-type":"print"},{"key":"5","unstructured":"[C] E. Chavli, The Brou\u00e9-Malle-Rouquier conjecture for reflection groups of rank 2, Th\u00e8se de doctorat, Universit\u00e9 Paris-Diderot, 2016, arXiv:1608.00834."},{"key":"6","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1016\/j.jalgebra.2011.06.034","article-title":"The center of pure complex braid groups","volume":"347","author":"Digne, Fran\u00e7ois","year":"2011","journal-title":"J. Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0021-8693","issn-type":"print"},{"issue":"2","key":"7","doi-asserted-by":"publisher","first-page":"570","DOI":"10.1016\/j.jalgebra.2006.01.005","article-title":"Central extensions of preprojective algebras, the quantum Heisenberg algebra, and 2-dimensional complex reflection groups","volume":"299","author":"Etingof, Pavel","year":"2006","journal-title":"J. Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0021-8693","issn-type":"print"},{"key":"8","series-title":"London Mathematical Society Monographs. New Series","isbn-type":"print","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502500.001.0001","volume-title":"Characters of finite Coxeter groups and Iwahori-Hecke algebras","volume":"21","author":"Geck, Meinolf","year":"2000","ISBN":"https:\/\/id.crossref.org\/isbn\/0198502508"},{"issue":"2","key":"9","doi-asserted-by":"publisher","first-page":"493","DOI":"10.2140\/ant.2015.9.493","article-title":"Finite-dimensional quotients of Hecke algebras","volume":"9","author":"Losev, Ivan","year":"2015","journal-title":"Algebra Number Theory","ISSN":"https:\/\/id.crossref.org\/issn\/1937-0652","issn-type":"print"},{"issue":"12","key":"10","doi-asserted-by":"publisher","first-page":"2754","DOI":"10.1016\/j.jpaa.2012.04.013","article-title":"The cubic Hecke algebra on at most 5 strands","volume":"216","author":"Marin, Ivan","year":"2012","journal-title":"J. Pure Appl. Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0022-4049","issn-type":"print"},{"issue":"4","key":"11","doi-asserted-by":"publisher","first-page":"704","DOI":"10.1016\/j.jpaa.2013.08.009","article-title":"The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \ud835\udc3a\u2082\u2086","volume":"218","author":"Marin, Ivan","year":"2014","journal-title":"J. Pure Appl. Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0022-4049","issn-type":"print"},{"key":"12","doi-asserted-by":"publisher","first-page":"308","DOI":"10.1016\/j.jalgebra.2015.03.031","article-title":"The development version of the CHEVIE package of GAP3","volume":"435","author":"Michel, Jean","year":"2015","journal-title":"J. Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0021-8693","issn-type":"print"},{"key":"13","unstructured":"[P] M. Picantin, Petits Groupes Gaussiens, Th\u00e8se de doctorat, Universit\u00e9 de Caen, 2000."}],"container-title":["Mathematics of Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.ams.org\/mcom\/2017-86-306\/S0025-5718-2016-03142-7\/S0025-5718-2016-03142-7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/www.ams.org\/mcom\/2017-86-306\/S0025-5718-2016-03142-7\/S0025-5718-2016-03142-7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T19:13:24Z","timestamp":1776798804000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.ams.org\/mcom\/2017-86-306\/S0025-5718-2016-03142-7\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,10,12]]},"references-count":13,"journal-issue":{"issue":"306","published-print":{"date-parts":[[2017,7]]}},"alternative-id":["S0025-5718-2016-03142-7"],"URL":"https:\/\/doi.org\/10.1090\/mcom\/3142","archive":["CLOCKSS","Portico"],"relation":{},"ISSN":["1088-6842","0025-5718"],"issn-type":[{"value":"1088-6842","type":"electronic"},{"value":"0025-5718","type":"print"}],"subject":[],"published":{"date-parts":[[2016,10,12]]}}}