On blocks with trivial source simple modules

Mathematics – Group Theory

Scientific paper

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Scientific paper

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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