Fusion systems containing pearls

2017/10/19 by Grazian, Valentina
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1710.07088

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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• Saturated fusion systems on p-groups of maximal class
• Rank 2 Amalgams and Fusion Systems
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