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Essential Subgroups and Alperin’s Fusion Theorem

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

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.

Keywords

  • Fusion Theorem
  • Essential Subgroup
  • Fusion System
  • Automorphism Group
  • Small Case

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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