An F-essential subgroup is called a pearl if it is either elementary abelian of order p2 or non-abelian of order p3. In this paper we start the investigation of fusion systems containing pearls: we determine a bound for the order of p-groups containing pearls and we classify the saturated fusion systems on p-groups containing pearls and having sectional rank at most 4.
Grazian, V. (2018). Fusion systems containing pearls. JOURNAL OF ALGEBRA, 510, 98-140 [10.1016/j.jalgebra.2018.05.029].
Fusion systems containing pearls
Grazian, V
2018
Abstract
An F-essential subgroup is called a pearl if it is either elementary abelian of order p2 or non-abelian of order p3. In this paper we start the investigation of fusion systems containing pearls: we determine a bound for the order of p-groups containing pearls and we classify the saturated fusion systems on p-groups containing pearls and having sectional rank at most 4.
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