Local group theory, the amalgam method, and fusion systems - PhDData

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Local group theory, the amalgam method, and fusion systems

The thesis was published by van Beek, Martin, in July 2022, University of Birmingham.

Abstract:

In this thesis, we provide a framework in which certain configurations in saturated fusion systems can be characterized via the amalgam method. Along the way, we identify several rank 2 amalgams involving strongly (p)-embedded subgroups, and recognize some finite simple groups as associated completions. In addition, as an application, we determine all saturated fusion systems supported on a Sylow
(p)-subgroup of G(_2(p^n)) and PSU(_4(p^n)) for all primes (p) and (n in mathbb{N}).



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