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Corestriction and p-subgroups (Q761536)

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scientific article; zbMATH DE number 3886115
Language Label Description Also known as
English
Corestriction and p-subgroups
scientific article; zbMATH DE number 3886115

    Statements

    Corestriction and p-subgroups (English)
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    1984
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    \textit{D. Burry} has proved that any indecomposable module for any finite p-group P with P as a vertex appears as the source of an indecomposable module in any block B of any finite group G such that P is contained in a defect group of B [Proc. Am. Math. Soc. 78, 14-16 (1980; Zbl 0438.20003)]. Here the author proves the analogous result for interior algebras in the place of modules and some related results. There is also a brief introduction to interior algebras and their corestriction, a concept introduced by \textit{L. Puig} [Math. Z. 166, 117-129 (1979; Zbl 0387.16006)]; this part follows unpublished lecture notes by M. Broué.
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    indecomposable module
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    finite p-group
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    vertex
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    source
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    block
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    defect group
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    interior algebras
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    corestriction
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