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• W2912477406 abstract "Abstract We finish the classification, begun in two earlier papers, of all simple fusion systems over finite nonabelian p -groups with an abelian subgroup of index p . In particular, this gives many new examples illustrating the enormous variety of exotic examples that can arise. In addition, we classify all simple fusion systems over infinite nonabelian discrete p -toral groups with an abelian subgroup of index p . In all of these cases (finite or infinite), we reduce the problem to one of listing all 𝔽 p G -modules (for G finite) satisfying certain conditions: a problem which was solved in the earlier paper [15] using the classification of finite simple groups." @default.
• W2912477406 created "2019-02-21" @default.
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• W2912477406 date "2019-01-30" @default.
• W2912477406 modified "2023-10-16" @default.
• W2912477406 title "Reduced fusion systems over <i>p</i>-groups with abelian subgroup of index <i>p</i>: III" @default.
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• W2912477406 doi "https://doi.org/10.1017/prm.2018.107" @default.
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