The structure of finite semisimple metacyclic group algebras. (Q2860847)
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scientific article; zbMATH DE number 6225418
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of finite semisimple metacyclic group algebras. |
scientific article; zbMATH DE number 6225418 |
Statements
11 November 2013
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group algebras, finite metacyclic groups
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Galois fields
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semisimple representations
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irreducible representations
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primitive central idempotents
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Wedderburn decompositions
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irreducible characters
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The structure of finite semisimple metacyclic group algebras. (English)
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Let \(G\) be a metacyclic finite group and \(F\) a finite field of order \(q\) such that the group algebra \(FG\) is semisimple. The authors determine a complete system of primitive central idempotents and the Wedderburn decomposition of the algebra \(FG\). The paper is the continuation of the authors' [Proc. Indian Acad. Sci., Math. Sci. 121, No. 4, 379-396 (2011; Zbl 1264.20002)] in which the same task was accomplished in case the order of \(G\) is the product of two primes.
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