Publication

Mackey functors and sharpness for fusion systems

Díaz, Antonio
; 
Park, Sejong
Identifiers
http://hdl.handle.net/10379/11189
 https://doi.org/10.13025/27716
Publication Date
2015-01-01
Keywords
homology decomposition, classifying space, higher limit, fusion system, mackey functor, local finite-groups, classifying-spaces, classification, decomposition, subgroup
Type
Article
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Citation
Díaz, Antonio; Park, Sejong (2015). Mackey functors and sharpness for fusion systems. Homology, Homotopy and Applications 17 (1), 147-164
Abstract
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.
Funder
Publisher
International Press of Boston
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (2)