Prime characters and primitivity (Q1825269)
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scientific article; zbMATH DE number 4120377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Prime characters and primitivity |
scientific article; zbMATH DE number 4120377 |
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Prime characters and primitivity (English)
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1990
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A (complex) character of a finite group is called quasiprimitive if it is irreducible and if its restriction to every normal subgroup is a multiple of an irreducible character. It is known that every quasiprimitive character of a finite solvable group is primitive, i.e. not induced by a character of a proper subgroup. In the paper the authors give conditions which assure that a quasiprimitive character of a finite group is primitive.
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irreducible character
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quasiprimitive character
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finite solvable group
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