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
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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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DOI: https://doi.org/10.1007/978-3-319-12006-5_5
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