On the Schur indices of characters of finite reductive groups in bad characteristic cases. (Q1423475)
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scientific article; zbMATH DE number 2048568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Schur indices of characters of finite reductive groups in bad characteristic cases. |
scientific article; zbMATH DE number 2048568 |
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On the Schur indices of characters of finite reductive groups in bad characteristic cases. (English)
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1 March 2004
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The author continues his study of Schur indices of complex irreducible characters of finite reductive groups. In particular, his present treatment shows that any semisimple character of the finite Ree group \(^2F_4(2^{2n+1})\) has Schur index one, and that any complex irreducible character of the Steinberg triality group \(^3D_4(2^{3n})\) also has Schur index one. Some earlier results are reproved.
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bad primes
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rational Schur indices
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simple groups
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irreducible characters
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unipotent characters
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semisimple characters
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Ree groups
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triality groups
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0.93825597
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0.92450505
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0.9169418
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0.9169011
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0.91619277
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0.9083314
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0.9041332
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