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Essential Subgroups and Alperin’s Fusion Theorem

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Blocks of Finite Groups and Their Invariants

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

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Abstract

After proving a strong version of Alperin’s Fusion Theorem, we derived some properties of essential subgroups in fusion systems. By using the classification of the strongly p-embedded subgroups we restrictions on the automorphism groups of essential subgroups. This leads to consequences in small cases.

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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). Essential Subgroups and Alperin’s Fusion Theorem. 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_6

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