A Hall-Higman type theorem for cyclic groups (Q689716)
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scientific article; zbMATH DE number 446317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Hall-Higman type theorem for cyclic groups |
scientific article; zbMATH DE number 446317 |
Statements
A Hall-Higman type theorem for cyclic groups (English)
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17 November 1993
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This result is in the spirit of P. Hall and G. Higman's celebrated ``Theorem B'' and extends a result of T. R. Berger. It gives an explicit description of the restriction to \(A\) of a faithful, irreducible representation of a semidirect product of a cyclic group \(A\) with an extraspecial group \(R\).
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restriction
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faithful, irreducible representation
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semidirect product
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cyclic group
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extraspecial group
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