Summary: | In this thesis we study saturated fusion systems on ρ-groups having sectional rank 3, for ρ odd. We obtain a complete classification of simple fusion systems on p-groups having sectional rank 3 for ρ ≥ 5, exhibiting a new simple exotic fusion system on a 7-group of order 7^5. We introduce the notion of pearls, defined as essential subgroups isomorphic to the groups C_ρ X_ρ and ρ₊¹⁺² (for odd), and we illustrate some properties of fusion systems involving pearls. As for ρ = 3, we determine the isomorphism type of a certain section of the 3-groups considered.
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