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Metacyclic Defect Groups

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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

As the first application of the general methods we classify blocks with metacyclic defect groups. Here in case p = 2 we obtain an almost complete result due to various authors. In the odd case we give a proof of Brauer’s k(B)-Conjecture, Olsson’s Conjecture and Brauer’s Height Zero Conjecture. Moreover, we use a recent result by Watanabe to describe blocks with metacyclic, minimal non-abelian defect groups.

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  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). Metacyclic Defect Groups. 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_8

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