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Thesis

Centralisers and amalgams of saturated fusion systems

Abstract:

In this thesis, we mainly address two contrasting topics in the area of saturated fusion systems. The first concerns the notion of a centraliser of a subsystem E of a fusion system F, and we give new proofs of the existence of such an object in the case where E is normal in F. The second concerns the development of the theory of `trees of fusion systems', an analogue for fusion systems of Bass-Serre theory for finite groups. A major theorem finds conditions on a tree of fusion systems for ...

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Role:
Supervisor
Role:
Supervisor
Institution:
University of Oxford
Research group:
Algebra
Oxford college:
Oriel College
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
URN:
uuid:43d7d6d0-363b-4bc7-b17f-5713cc586737
Local pid:
ora:7489

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