Mackey functors and fusion systems
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Date
2019.
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Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019.
Abstract
In this thesis, we present a survey for the paper [1]. We study with the biset functors representation rings and superclass functions. We define representation rings of a saturated fusion system F and F-stable elements of superclass functions, then, we investigate the dimension homomorphism between those sets. We consider arbitrary saturated fusion system F and finite group G. Our aim is to describe the image of the F-stable elements of real representation ring of G, under the dimension function which is the set of Borel-Smith functions which satisfy an extra condition.