Abstract
This chapter contains some reduction methods which often allows to answer a specific question about blocks by looking at blocks of quasisimple groups only. Most importantly, we introduce Fong’s reductions. In the second part we recall the classification of the finite simple groups and note some well-known results about representation theory of simple groups. Finally, we consider the p-solvable case.
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Sambale, B. (2014). Reduction to Quasisimple Groups and the Classification. 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_7
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