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Title: Fusion systems on ρ-groups of sectional rank 3
Author: Grazian, Valentina
ISNI:       0000 0004 6350 1435
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2017
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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.
Supervisor: Not available Sponsor: Engineering and Physical Sciences Research Council ; University of Birmingham
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics