On blocks with trivial source simple modules

2010/04/10 by Lluís Puig, Puig, Lluis, Yuanyang Zhou +1
Mathematics · #Algebraic structures and combinatorial models #Finite Group Theory Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1004.1702

Abstract

Motivated by an observation in "Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups", J. of Algebra 322, 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.

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