The subgroup homology decomposition for fusion systems is sharp

TL;DR

This paper generalizes Dwyer's subgroup homology decomposition from finite groups to saturated fusion systems, broadening its applicability to algebraic topology and group theory.

Contribution

It introduces a sharp subgroup homology decomposition for saturated fusion systems applicable to arbitrary Mackey functors, extending previous results.

Findings

Generalization of Dwyer's decomposition to fusion systems

Applicable to arbitrary Mackey functors

Provides new tools for algebraic topology and group theory

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.