Abstract
Let G be a finite group and b a block of G; denote by α = {b} the corresponding point of G on OG, and choose a defect pointed group P γ of G α . In this section, we consider the source algebra (OG)γ of OGb; this P-interior algebra is the most important structure associated with the block b of G. We already know that OGb and (OG)γ are Morita equivalent (see 6.10); actually, the source algebra determines all the current invariants associated with the block. We only explain it for the fusions.
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© 2002 Springer-Verlag Berlin Heidelberg
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Puig, L. (2002). Source Algebras of Blocks. In: Blocks of Finite Groups. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11256-4_12
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DOI: https://doi.org/10.1007/978-3-662-11256-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07802-6
Online ISBN: 978-3-662-11256-4
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