Crossed products of \(p\)-groups and Green's indecomposability theorem (Q1335105)

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scientific article; zbMATH DE number 645112
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English
Crossed products of \(p\)-groups and Green's indecomposability theorem
scientific article; zbMATH DE number 645112

    Statements

    Crossed products of \(p\)-groups and Green's indecomposability theorem (English)
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    28 September 1994
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    Green's indecomposability theorem states that induction of modules preserves absolute indecomposability under certain circumstances. The authors present a version of this theorem for arbitrary indecomposable modules. This is a straightforward consequence of an appropriate description of certain crossed products of \(p\)-groups.
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    Green's indecomposability theorem
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    induction of modules
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    absolute indecomposability
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    indecomposable modules
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    crossed products of \(p\)-groups
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