Use this URL to cite or link to this record in EThOS: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.774291
Title: Fusion systems on ρ-groups with an extraspecial subgroup of index ρ
Author: Moragues Moncho, Raúl
ISNI:       0000 0004 7961 4979
Awarding Body: University of Birmingham
Current Institution: University of Birmingham
Date of Award: 2019
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Abstract:
In this thesis we classify saturated fusion systems on ρ-groups S containing an extraspecial subgroup of index ρ for an arbitrary odd prime ρ. We prove that if F is a saturated fusion system on S with Op(F) = 1 then either |S|≤ ρ⁶ or S is isomorphic to a unique group of order ρρ-1. We either classify the fusion systems or cite references to show that F is known in all cases except when S is a Sylow ρ-subgroup of SL₄(ρ) which remains as future work. When |S| ρρ-1 with ρ≥11 we describe new infinite exotic families related to those constructed by Parker and Stroth.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.774291  DOI: Not available
Keywords: QA Mathematics
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