{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T22:30:07Z","timestamp":1768775407117,"version":"3.49.0"},"reference-count":8,"publisher":"Wiley","license":[{"start":{"date-parts":[[2010,8,27]],"date-time":"2010-08-27T00:00:00Z","timestamp":1282867200000},"content-version":"unspecified","delay-in-days":26,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2010,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Suppose that <jats:italic>p<\/jats:italic> is 3,5,7,11 or 13. We classify the radical <jats:italic>p<\/jats:italic>-chains of the Monster \ud835\udd44 and verify the Alperin weight conjecture and Uno\u2019s reductive conjecture for \ud835\udd44, the latter being a refinement of Dade\u2019s reductive conjecture and the Isaacs\u2013Navarro conjecture.<\/jats:p>","DOI":"10.1112\/s1461157009000059","type":"journal-article","created":{"date-parts":[[2010,8,27]],"date-time":"2010-08-27T11:11:32Z","timestamp":1282907492000},"page":"320-356","source":"Crossref","is-referenced-by-count":6,"title":["The Alperin weight conjecture and Uno\u2019s conjecture for the Monster \ud835\udd44, <i>p<\/i> odd"],"prefix":"10.1112","volume":"13","author":[{"given":"Jianbei","family":"An","sequence":"first","affiliation":[]},{"given":"R. A.","family":"Wilson","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2010,8,27]]},"reference":[{"key":"S1461157009000059_ref3","first-page":"519","volume":"10","author":"An","year":"2003","journal-title":"Algebra Colloq."},{"key":"S1461157009000059_ref19","volume-title":"Brauer trees of sporadic groups","author":"Hiss","year":"1989"},{"key":"S1461157009000059_ref1","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1090\/pspum\/047.1\/933373","volume-title":"The Arcata conference on representations of finite groups","author":"Alperin","year":"1987"},{"key":"S1461157009000059_ref11","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1112\/S1461157000001078","volume":"7","author":"An","year":"2004","journal-title":"LMS J. Comput. Math."},{"key":"S1461157009000059_ref15","volume-title":"Atlas of finite groups","author":"Conway","year":"1985"},{"key":"S1461157009000059_ref5","doi-asserted-by":"crossref","first-page":"100","DOI":"10.1112\/S1461157000000541","volume":"11","author":"An","year":"2008","journal-title":"LMS J. Comput. Math."},{"key":"S1461157009000059_ref23","first-page":"11","volume":"41","author":"Uno","year":"2004","journal-title":"Osaka J. Math."},{"key":"S1461157009000059_ref17","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1515\/9783110806298.45","volume-title":"Representation theory of finite groups (Proceedings of a special research quarter at the Ohio State University, spring, 1995)","author":"Dade","year":"1997"}],"container-title":["LMS Journal of Computation and Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S1461157009000059","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,20]],"date-time":"2024-11-20T13:15:26Z","timestamp":1732108526000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S1461157009000059\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,8]]},"references-count":8,"alternative-id":["S1461157009000059"],"URL":"https:\/\/doi.org\/10.1112\/s1461157009000059","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,8]]}}}