{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T02:09:41Z","timestamp":1768442981399,"version":"3.49.0"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2010,2,1]],"date-time":"2010-02-01T00:00:00Z","timestamp":1264982400000},"content-version":"unspecified","delay-in-days":1127,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2007]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We calculate the character table of the maximal subgroup of the Monster <jats:italic>N<\/jats:italic>(3<jats:italic>B<\/jats:italic>) isomorphic to a group of shape 3<jats:sub>+<\/jats:sub><jats:sup>1+12<\/jats:sup> \u00b7 2 \u00b7 Suz: 2, and also of the group 3<jats:sup>1+12<\/jats:sup> : 6 \u00b7 Suz \u00b7 2, which has the former as a quotient.  The strategy is to induce characters from the inertia groups in 3<jats:sup>1+12<\/jats:sup> : 6 \u00b7 Suz : 2 of characters of 3<jats:sup>1+12<\/jats:sup>. We obtain the quotient map to <jats:italic>N<\/jats:italic>(3<jats:italic>B<\/jats:italic>) computationally, and our careful concrete approach allows us to produce class fusions between our tables and various tables in the GAP library.<\/jats:p>","DOI":"10.1112\/s1461157000001352","type":"journal-article","created":{"date-parts":[[2013,8,6]],"date-time":"2013-08-06T11:42:31Z","timestamp":1375789351000},"page":"161-175","source":"Crossref","is-referenced-by-count":4,"title":["The Character Table of a Maximal Subgroup of the Monster"],"prefix":"10.1112","volume":"10","author":[{"given":"R. W.","family":"Barraclough","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R. A.","family":"Wilson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,2,1]]},"reference":[{"key":"S1461157000001352_ref017","unstructured":"17. L\u00fcbeck F. , \u2018Conway polynomials for finite fields\u2019, 2004, http:\/\/www.math.rwth-aachen.de:8001\/~Frank.Luebeck\/data\/ConwayPol."},{"key":"S1461157000001352_ref021","doi-asserted-by":"publisher","DOI":"10.1080\/00927870008827020"},{"key":"S1461157000001352_ref002","article-title":"\u2018Explicit construction of maximal subgroups of ihe Monster\u2019","author":"Bray","journal-title":"J. Algebm"},{"key":"S1461157000001352_ref023","unstructured":"23.University of Sydney, \u2018The Magma Handbook\u2019, 2004, http:\/\/magma.maths.usyd.edu.au\/magma\/htmlhelp\/MAGMA.htm."},{"key":"S1461157000001352_ref008","first-page":"433","article-title":"\u2018A new maximal subgroup of the Monster\u2019","volume":"231","author":"Holmes","year":"2002","journal-title":"J. Algebra"},{"key":"S1461157000001352_ref016","unstructured":"16. L\u00fcbeck F. et at.. \u2018The modular atlas\u2019. 2004. http:\/\/www.math.rwth-aachen.de\/~MOC."},{"key":"S1461157000001352_ref007","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389186"},{"key":"S1461157000001352_ref003","unstructured":"3. Breuer Thomas Manual for the GAP character table library, Version 1.1 (Lehrstuhl D f\u00fcr Mathematik, Rheinisch Westf\u00e4lische Technische Hochschule. Aachen. Germany, 2004)."},{"key":"S1461157000001352_ref009","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610702003976"},{"key":"S1461157000001352_ref015","first-page":"307","article-title":"\u2018Computer construction of the monster\u2019","volume":"1","author":"Linton","year":"1998","journal-title":"J. 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Maximal subgroups and ordinary characters for simple groups","author":"Conway","year":"1983"},{"key":"S1461157000001352_ref011","volume-title":"Character theory of finite groups","author":"Isaacs","year":"1994"},{"key":"S1461157000001352_ref012","volume-title":"An Atlas of Brauer characters","volume":"11","author":"Jansen","year":"1993"},{"key":"S1461157000001352_ref013","doi-asserted-by":"publisher","DOI":"10.1080\/00927879708825999"},{"key":"S1461157000001352_ref018","first-page":"227","volume-title":"Combinatorics and geometry","author":"Norton","year":"2001"},{"key":"S1461157000001352_ref019","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546549"},{"key":"S1461157000001352_ref020","unstructured":"20. Stather M. . \u2018Computing in matrix groups\u2019. Seminars at \u2018Groups St Andrews 2003\u2019 and Magma Workshop on Group Theory and Algebraic Geometry, Warwick, 2005; see http:\/\/www.Baths.warwick.ac.uk\/~dih\/magmaOS.html."},{"key":"S1461157000001352_ref022","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2006.04.002"},{"key":"S1461157000001352_ref006","unstructured":"6.The GAP Group, \u2018GAP \u2013 groups, algorithms, and programming\u2019. Version 4.3 (2002), http:\/\/www.gap-system.org."},{"key":"S1461157000001352_ref001","first-page":"203","article-title":"\u2018Conjugacy class representatives for the Monster group\u2019","volume":"8","author":"Barraclough","year":"2003","journal-title":"LMS J. Comput. Math"},{"key":"S1461157000001352_ref024","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1996.0271"},{"key":"S1461157000001352_ref010","doi-asserted-by":"publisher","DOI":"10.1112\/S0024610703004915"},{"key":"S1461157000001352_ref014","unstructured":"14.Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen. \u2018The Meataxe\u2013computing with modular representations\u2019, 2004, http:\/\/www.math.rwth-aachen.de\/homes\/MTX\/."}],"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\/S1461157000001352","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,6]],"date-time":"2019-06-06T22:01:31Z","timestamp":1559858491000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S1461157000001352\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"references-count":24,"alternative-id":["S1461157000001352"],"URL":"https:\/\/doi.org\/10.1112\/s1461157000001352","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007]]}}}