Abstract
A major questions in the theory of plocal finite groups was whether any saturated fusion system over a finite pgroup admits an associated centric linking system, and when it does, whether it is unique. Both questions were answered in the affirmative by A. Chermak, using the theory of partial groups and localities he developed. Using Chermak’s ideas combined with the techniques of obstruction theory, Bob Oliver gave a different proof of Chermak’s theorem. In this paper we generalise Oliver’s proof to the context of fusion systems over discrete ptoral groups, thus positively resolving the analogous questions in plocal compact group theory.
Original language  English 

Pages (fromto)  4770 
Number of pages  24 
Journal  Journal of the London Mathematical Society 
Volume  91 
Issue number  1 
Early online date  17 Nov 2014 
DOIs  
Publication status  Published  Feb 2015 
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Ran Levi
 School of Natural & Computing Sciences, Mathematical Science  Chair in Mathematical Sciences
Person: Academic
