Abstract
We give examples to show that it is 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 [5] when he did prove it. It also shows that the claim by Puig [12] to have proven this result in a recently published paper is not correct.
B. Oliver is partially supported by UMR 7539 of the CNRS.
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Oliver, B. (2018). A Remark on the Construction of Centric Linking Systems. In: Carlson, J., Iyengar, S., Pevtsova, J. (eds) Geometric and Topological Aspects of the Representation Theory of Finite Groups. PSSW 2016. Springer Proceedings in Mathematics & Statistics, vol 242. Springer, Cham. https://doi.org/10.1007/978-3-319-94033-5_13
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DOI: https://doi.org/10.1007/978-3-319-94033-5_13
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