A note on the Jacobson radical \(J\left(\mathbb{F}_{2^n}{D}_{2m}\right)\) (Q6656365)
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scientific article; zbMATH DE number 7961350
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the Jacobson radical \(J\left(\mathbb{F}_{2^n}{D}_{2m}\right)\) |
scientific article; zbMATH DE number 7961350 |
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A note on the Jacobson radical \(J\left(\mathbb{F}_{2^n}{D}_{2m}\right)\) (English)
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2 January 2025
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Recall that the Jacobson radical of a ring \(R\) is the intersection of the annihilators of all simple \(R\)-modules. In this short note, the authors focus on the group rings of dihedral groups of orders \(2^n\) and \(2^n \cdot 3\) respectively over finite fields of characteristic \(2\) and prove formulas for calculating the dimensions of the Jacobson radicals of these group rings.
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Jacobson radical
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group ring
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dihedral group
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