van Beek, Martin 
ORCID: 0000-0003-1465-0242
(2022).
Local group theory, the amalgam method, and fusion systems.
University of Birmingham.
Ph.D.
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VanBeek2022PhD.pdf
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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 \(n \in \mathbb{N}\).
| Type of Work: | Thesis (Doctorates > Ph.D.) | |||||||||
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| Award Type: | Doctorates > Ph.D. | |||||||||
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| Licence: | All rights reserved | |||||||||
| College/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences | |||||||||
| School or Department: | School of Mathematics | |||||||||
| Funders: | Engineering and Physical Sciences Research Council | |||||||||
| Subjects: | Q Science > QA Mathematics | |||||||||
| URI: | http://etheses.bham.ac.uk/id/eprint/12507 |
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