Author: Bob Oliver



Title: A remark on the construction of centric linking systems



Abstract: We give examples to show that it is \emph{not} in general 

possible to prove the existence and uniqueness of centric linking systems 

associated to a given fusion system inductively by adding one conjugacy 

class at a time to the categories. This helps to explain why it was so 

difficult to prove that these categories always exist, and also helps to 

motivate the procedure used by Chermak \cite{Chermak} when he did prove it.



Status: Submitted