Mackey functors and sharpness for fusion systems
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Díaz, Antonio; Park, Sejong (2015). Mackey functors and sharpness for fusion systems. Homology, Homotopy and Applications 17 (1), 147-164
We develop the fundamentals of Mackey functors in the setup of fusion systems including an acyclicity condition as well as a parametrization and an explicit description of simple Mackey functors. Using this machinery we extend Dwyer's sharpness results to exotic fusion systems F on a finite p-group S with an abelian subgroup of index p.