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}).
The full thesis can be downloaded at :
http://etheses.bham.ac.uk//id/eprint/12507/
http://etheses.bham.ac.uk//id/eprint/12507/7/VanBeek2022PhD.pdf
http://etheses.bham.ac.uk//id/eprint/12507/
http://etheses.bham.ac.uk//id/eprint/12507/7/VanBeek2022PhD.pdf