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Definitions and Facts

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

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.

Keywords

  • Defect Group
  • Fusion System
  • Generalized Decomposition Numbers
  • Subpair
  • Brauer Correspondence

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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