The subgroup homology decomposition for fusion systems is sharp

2014/12/01 by Antonio Díaz Ramos, Díaz, Antonio, Sejong Park +1
Mathematics · #20D20 #20J06 #55R35 #55R40 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1412.0378

openalex publication_date 2014/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend Dwyer's sharp subgroup homology decomposition of the classifying space of a finite group to arbitrary saturated fusion systems and arbitrary Mackey functors.

Citations

• Fusion systems and localities
• Equivalences of classifying spaces completed at the prime two

Related

• Homology decompositions and groups inducing fusion systems
• Mackey functors and sharpness for fusion systems
• Assigning a classifying space to a fusion system up to F-isomorphism
• Realizing fusion systems inside finite groups
• Realizability and tameness of fusion systems