{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T15:24:24Z","timestamp":1777476264735,"version":"3.51.4"},"reference-count":21,"publisher":"Wiley","license":[{"start":{"date-parts":[[2010,2,1]],"date-time":"2010-02-01T00:00:00Z","timestamp":1264982400000},"content-version":"unspecified","delay-in-days":2953,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["LMS J. Comput. Math."],"published-print":{"date-parts":[[2002]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, the Brauer trees are completed for the sporadic simple Lyons group Ly in characteristics 37 and 67. The results are obtained using tools from computational representation theory\u2014in particular, a new condensation technique\u2014and with the assistance of the computer algebra systems MeatAxe and GAP.<\/jats:p>","DOI":"10.1112\/s146115700000067x","type":"journal-article","created":{"date-parts":[[2013,8,6]],"date-time":"2013-08-06T11:42:12Z","timestamp":1375789332000},"page":"18-33","source":"Crossref","is-referenced-by-count":8,"title":["Completing the Brauer Trees for the Sporadic Simple Lyons Group"],"prefix":"10.1112","volume":"5","author":[{"given":"J\u00fcrgen","family":"M\u00fcller","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Max","family":"Neunh\u00f6ffer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Frank","family":"R\u00f6hr","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Wilson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,2,1]]},"reference":[{"key":"S146115700000067X_ref008","volume-title":"Brauer trees of sporadic groups","author":"Hiss","year":"1989"},{"key":"S146115700000067X_ref005","volume-title":"The representation theory of finite groups","author":"Feit","year":"1982"},{"key":"S146115700000067X_ref011","unstructured":"11 L\u00fcbeck F. , \u2018Conway ploynomials of finite fields\u2019; http:\/\/www.math.rwth-aachen.de\/~Frank.Luebeck\/ConwayPol\/"},{"key":"S146115700000067X_ref015","unstructured":"15 Ottensmann M. , \u2018Vervollst\u00e4ndigung der Brauer-B\u00e4ume von 3.ON in Charakteristik 11, 19 und 31 mit Methoden der Kondensation\u2019, Diplomarbeit, Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, 2000."},{"key":"S146115700000067X_ref004","doi-asserted-by":"publisher","DOI":"10.1080\/10586458.1997.10504617"},{"key":"S146115700000067X_ref001","doi-asserted-by":"publisher","DOI":"10.1007\/s000130050437"},{"key":"S146115700000067X_ref014","doi-asserted-by":"publisher","DOI":"10.1007\/BF01455926"},{"key":"S146115700000067X_ref009","doi-asserted-by":"publisher","DOI":"10.1080\/00927879608825607"},{"key":"S146115700000067X_ref007","volume":"830","author":"Green","year":"1980","journal-title":"Polynomial representations of GLn"},{"key":"S146115700000067X_ref006","unstructured":"6 The Gap Group, Gap \u2014Groups, Algorithms, and Programming, Version 4.2 (Aachen\/St. Andrews, 2000); http:\/\/www.gap-system.org\/."},{"key":"S146115700000067X_ref002","unstructured":"2 Breuer T. , \u2018The modular atlas\u2019, http:\/\/www.math.rwth-aachen.de\/~moc."},{"key":"S146115700000067X_ref012","first-page":"197","volume":"10","author":"L\u00fcbeck","year":"2001","journal-title":"\u2018Enumerating large orbits and direct condensation\u2019, Experiment. Math."},{"key":"S146115700000067X_ref016","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2000.8301"},{"key":"S146115700000067X_ref013","first-page":"529","volume":"17","author":"Lux","year":"1994","journal-title":"Peakword condensation and submodule lattices:an application of the MeatAxe\u2019"},{"key":"S146115700000067X_ref018","article-title":"\u2018Die Brauer-Charaktere der sporadischen einfachen Rudvalis-Gruppe in Charakteristik 13 und 29\u2019","author":"R\u00f6hr","year":"2000","journal-title":"Diplomarbeit"},{"key":"S146115700000067X_ref010","volume-title":"An atlas of Brauer characters","author":"Jansen","year":"1995"},{"key":"S146115700000067X_ref019","unstructured":"19 Thackray J. , \u2018Modular representations of some finite groups\u2019, PhD thesis, Cambridge University, 1981."},{"key":"S146115700000067X_ref020","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1996.0271"},{"key":"S146115700000067X_ref021","unstructured":"21 Wilson R. , \u2018Atlas of finite group representations\u2019, http:\/\/www.mat.bham.ac.uk\/atlas\/."},{"key":"S146115700000067X_ref003","volume-title":"Atlas of finite groups","author":"Conway","year":"1985"},{"key":"S146115700000067X_ref017","unstructured":"17 Ringe M. , The C-MeatAxe Manual, Version 2.4 (Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, 2000)."}],"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\/S146115700000067X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,7]],"date-time":"2019-06-07T23:48:35Z","timestamp":1559951315000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S146115700000067X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002]]},"references-count":21,"alternative-id":["S146115700000067X"],"URL":"https:\/\/doi.org\/10.1112\/s146115700000067x","relation":{},"ISSN":["1461-1570"],"issn-type":[{"value":"1461-1570","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002]]}}}