Local group theory, the amalgam method, and fusion systems

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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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.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Parker, ChristopherUNSPECIFIEDUNSPECIFIED
Craven, DavidUNSPECIFIEDUNSPECIFIED
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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