Characters of finite permutation groups and Krein parameters (Q1783403)
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scientific article; zbMATH DE number 6940723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characters of finite permutation groups and Krein parameters |
scientific article; zbMATH DE number 6940723 |
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Characters of finite permutation groups and Krein parameters (English)
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20 September 2018
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Let G be a finite group. An ordinary character of G is called multiplicity-free if it is the sum of distinct irreducible characters of G. In [J. Algebra 45, 259--265 (1977; Zbl 0363.20006)], \textit{L. L. Scott} studies a permutation group with multiplicity-free permutation character and obtains some condition on the irreducible constituents of this character. In the paper under review, the author proves the converse of this result.
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permutation groups
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permutation character
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irreducible characters.
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