Finite solvable groups in which only two nonlinear irreducible characters have equal degrees (Q1922899)
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scientific article; zbMATH DE number 930159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite solvable groups in which only two nonlinear irreducible characters have equal degrees |
scientific article; zbMATH DE number 930159 |
Statements
Finite solvable groups in which only two nonlinear irreducible characters have equal degrees (English)
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13 November 1996
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Continuing work by \textit{Ya. Berkovich, D. Chillag} and \textit{M. Herzog} [Proc. Am. Math. Soc. 115, No. 4, 955-959 (1992; Zbl 0822.20004)], the author classifies all soluble groups in which only two non-linear irreducible characters have equal degrees (Theorem 7). Non-soluble groups with this property were recently classified in a paper by \textit{Ya. Berkovich} and \textit{L. Kazarin} [J. Algebra 184, No. 2, 538-560 (1996; see the following review Zbl 0861.20009)].
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character degrees
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soluble groups
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irreducible characters
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