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A Bound in Terms of Fusion Systems

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

Abstract

By refining the methods of the previous chapter, we obtain another bound for the number of characters in a block of a finite group. This time the fusion system of the block will play an essential role. The statement of the result differs in case p = 2 from the odd case.

Keywords

  • Fusion System
  • Defect Group
  • Generalized Decomposition Numbers
  • Principal Block
  • Suitable Quadratic Form

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). A Bound in Terms of Fusion Systems. 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_5

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