Blocks with cyclic defect groups and Clifford extensions. (Q1779366)
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scientific article; zbMATH DE number 2173126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blocks with cyclic defect groups and Clifford extensions. |
scientific article; zbMATH DE number 2173126 |
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Blocks with cyclic defect groups and Clifford extensions. (English)
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1 June 2005
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The author shows that Dade's Inductive Conjecture holds for a block \(b\) with cyclic defect groups. One of the main tools is a theorem demonstrating that the residual Clifford extension of any non-exceptional character in \(b\) coincides with the Clifford extension of any simple module in \(b\). It is also proved that a structure theorem by the reviewer on blocks with normal defect groups extends to twisted group algebras.
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blocks
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defect groups
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stable equivalences
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group-graded algebras
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Clifford extensions
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exceptional characters
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Dade conjecture
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twisted group algebras
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