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Existence and uniqueness of linking systems: Chermak’s proof via obstruction theory

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Acta Mathematica

Abstract

We present a version of a proof by Andy Chermak of the existence and uniqueness of centric linking systems associated with arbitrary saturated fusion systems. This proof differs from the one in [Ch2] in that it is based on the computation of derived functors of certain inverse limits. This leads to a much shorter proof, but one which is aimed mostly at researchers familiar with homological algebra.

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Correspondence to Bob Oliver.

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The author was partially supported by the DNRF through a visiting professorship at the Centre for Symmetry and Deformation in Copenhagen; and also by UMR 7539 of the CNRS and by project ANR BLAN08-2 338236, HGRT.

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Oliver, B. Existence and uniqueness of linking systems: Chermak’s proof via obstruction theory. Acta Math 211, 141–175 (2013). https://doi.org/10.1007/s11511-013-0100-3

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  • DOI: https://doi.org/10.1007/s11511-013-0100-3

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