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Smash products for \(G\)-sets, Clifford theory and duality theorems - MaRDI portal

Smash products for \(G\)-sets, Clifford theory and duality theorems (Q1900898)

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scientific article; zbMATH DE number 809192
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Smash products for \(G\)-sets, Clifford theory and duality theorems
scientific article; zbMATH DE number 809192

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    Smash products for \(G\)-sets, Clifford theory and duality theorems (English)
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    17 April 1996
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    Motivated by the study of Clifford theory and duality theorems, the authors develop the theory of smash products for \(G\)-sets, where \(G\) is a group. They extend \textit{E. Dade}'s graded Clifford theory [J. Reine Angew. Math. 369, 40-86 (1986; Zbl 0583.16001)] to the case of \(G\)-set gradations and they also obtain a duality theorem which extends a result of \textit{M. Beattie} [J. Algebra 115, 303-312 (1988; Zbl 0647.16010)].
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    duality theorems
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    smash products for \(G\)-sets
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    graded Clifford theory
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    \(G\)-set gradations
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