Minimal fusion systems

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http://eprints.org/relation/isVolatileVersionOf http://etheses.bham.ac.uk/id/document/3042 http://eprints.org/relation/ispreviewThumbnailVersionOf http://etheses.bham.ac.uk/id/document/3042 http://eprints.org/relation/isVersionOf http://etheses.bham.ac.uk/id/document/3042 archive 4031 disk0/00/00/12/03 2010-12-01 12:41:58 2019-01-23 09:53:41 2011-07-19 16:31:06 thesis show 0 Henke Ellen Shpectorov Sergey Prof. University of Birmingham Minimal fusion systems unpub QA 10col_ephy We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompson's N-groups. In this thesis, we consider a minimal fusion systems F on a finite p-group S that has a unique maximal p-local subsystem containing N_F(S). For an arbitrary prime p, we determine the structure of a certain (explicitly described) p-local subsystem of F. If p=2, this yields to a complete classification of the fusion system F. 2010-12 2010-07 graduation eng This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder. public 120 University of Birmingham School of Mathematics d_ph epsrc 2010-12 graduation