Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 49, No. 2, pp. 409427 (2008) 

Vertices of simple modules for the symmetric groups in blocks of small weightsSusanne Danz and René ZimmermannMathematisches Institut, FriedrichSchillerUniversi\tät Jena, 07737 Jena, Germany; email: susanned@minet.unijena.de email: rene.zimmermann@gmx.comAbstract: With one exception, we determine the vertices of simple modules for symmetric groups in characteristic 2 and 3 which are contained in blocks of weight at most 4 and at most 3, respectively. Moreover, we provide some information on the sources of the modules in question. Keywords: block, defect group, simple module, source, symmetric group, vertex Classification (MSC2000): 20C20, 20C30 Full text of the article:
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