Astill, Sarah (2010). Odd characterizations of almost simple groups - 3-local and character theoretic methods. University of Birmingham. Ph.D.
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Astill09PhD.pdf
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Abstract
In this PhD thesis we discuss methods of recognizing finite groups by the structure of normalizers of certain 3-subgroups. We explain a method for characterizing groups using character theoretic and block theoretic methods and we use these methods to characterize Alt(9). Furthermore, we describe a particular hypothesis related to the 3-local structure of finite groups of local characteristic 3 and characterize two almost simple proper extensions of \(\Omega\)\(_8\) (2) as examples of the local approach to group recognition. We also give a 3-local characterization of the sporadic simple group HN using local methods whilst applying a character theoretic result.
Type of Work: | Thesis (Doctorates > Ph.D.) | ||||||
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Award Type: | Doctorates > Ph.D. | ||||||
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College/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences | ||||||
School or Department: | School of Mathematics | ||||||
Funders: | None/not applicable | ||||||
Subjects: | Q Science > QA Mathematics | ||||||
URI: | http://etheses.bham.ac.uk/id/eprint/520 |
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