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- W3174659785 abstract "Linking systems were introduced to provide algebraic models for p-completed classifying spaces of fusion systems. Every linking system over a saturated fusion system F corresponds to a group-like structure called a locality. Given such a locality L, we prove that there is a one-to-one correspondence between the partial normal subgroups of L and the normal subsystems of the fusion system F. This is then used to obtain a kind of dictionary, which makes it possible to translate between various concepts in localities and corresponding concepts in fusion systems. As a byproduct, we obtain new proofs of many known theorems about fusion systems and also some new results. For example, we show in this paper that, in any saturated fusion system, there is a sensible notion of a product of normal subsystems." @default.
- W3174659785 created "2021-07-05" @default.
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- W3174659785 date "2022-12-01" @default.
- W3174659785 modified "2023-10-15" @default.
- W3174659785 title "Fusion systems and localities – a dictionary" @default.
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- W3174659785 doi "https://doi.org/10.1016/j.aim.2022.108690" @default.
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