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Book cover Blocks of Finite Groups and Their Invariants

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2127))

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Abstract

The chapter introduces the basic notions of representation theory of finite groups. In particular in contains definitions of p-modular systems, blocks of groups algebras, (lower) defect groups, the Brauer homomorphism, decomposition numbers, subsections, and fusion systems. Moreover, we present Brauer’s three main theorems as well as a few other important results. Most theorems are given without proof.

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  1. Institut für Mathematik, Friedrich-Schiller-Universität Jena, Jena, Germany

    Benjamin Sambale

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  1. Benjamin Sambale
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Sambale, B. (2014). Definitions and Facts. In: Blocks of Finite Groups and Their Invariants. Lecture Notes in Mathematics, vol 2127. Springer, Cham. https://doi.org/10.1007/978-3-319-12006-5_1

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