Schur indices and \(3D_ 4(q^ 3)\), q odd (Q1105027)
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scientific article; zbMATH DE number 4057765
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Schur indices and \(3D_ 4(q^ 3)\), q odd |
scientific article; zbMATH DE number 4057765 |
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Schur indices and \(3D_ 4(q^ 3)\), q odd (English)
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1988
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It is an important problem to determine the Schur indices m(\(\chi)\) of all the irreducible ordinary characters \(\chi\) of all the finite simple groups G. Let q be a power of an odd prime and let G be a Steinberg triality \(3D_ 4(q^ 3)\). In this article the author shows the following beautiful Theorem: \(m(\chi)=1\) for every \(\chi \in Irr_{{\mathbb{C}}}(G)\).
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Schur indices
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irreducible ordinary characters
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finite simple groups
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Steinberg triality
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