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

• 成果类型: Article
• 署名作者: Oliver, Bob
• 署名单位: Universite Paris 13; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: ACTA MATHEMATICA
• ISSN/ISSBN: 0001-5962
• DOI: 10.1007/s11511-013-0100-3
• 发表日期: 2013
• 页码: 141-175
• 关键词: classifying-spaces; homotopy-theory; fusion systems; equivalences

摘要

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.