Characters and the generalized Fitting subgroup (Q1119736)
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scientific article; zbMATH DE number 4097619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characters and the generalized Fitting subgroup |
scientific article; zbMATH DE number 4097619 |
Statements
Characters and the generalized Fitting subgroup (English)
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1988
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In this note the following result is proved: Theorem: The generalized Fitting subgroup of a finite group G equals the intersection of the inertia subgroups of the complex irreducible characters of the chief factors of G. The proof relies on the classification of simple groups.
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generalized Fitting subgroup
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finite group
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inertia subgroups
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complex irreducible characters
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chief factors
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