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
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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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DOI: https://doi.org/10.1007/978-3-319-12006-5_6
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