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Blocks of Finite Groups and Their Invariants pp 33–46Cite as

The Cartan Method

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

Abstract

We present some important general methods which allow to bound the number of characters in a given block of a finite group provided local information is available. Most results are stated in terms of Cartan invariants of subsections. We also provide a practical algorithm for computing Cartan invariants up to basic sets. This algorithm will be used in the following chapters.

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Authors and Affiliations

  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). The Cartan Method. 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_4

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