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On blocks with trivial source simple modules
Authors:Lluis Puig  Yuanyang Zhou
Affiliation:aCNRS, Institut de Mathématiques de Jussieu, 6 Av Bizet, 94340 Joinville-le-Pont, France;bDepartment of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, PR China
Abstract:Motivated by an observation in Danz and Külshammer (2009) [3], we determine the source algebra, and therefore all the structure, of the blocks without essential Brauer pairs where the simple modules of all the Brauer corespondents have trivial sources.
Keywords:Finite group   Block   Source
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