Non-solvable groups, whose character degrees are products of at most two prime numbers (Q1084174)
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scientific article; zbMATH DE number 3977231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-solvable groups, whose character degrees are products of at most two prime numbers |
scientific article; zbMATH DE number 3977231 |
Statements
Non-solvable groups, whose character degrees are products of at most two prime numbers (English)
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1986
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Let \(n\in {\mathbb{N}}\), \(n=p_ 1^{a_ 1}...p_ k^{a_ k}\) its prime decomposition, \(\omega (n)=a_ 1+...+a_ k\). If Irr(G) is the set of irreducible complex characters of the finite group G, then define \(\omega (G)=\max_{\chi \in Irr(G)}\omega (\chi (1)).\) In this paper a complete classification of the non-solvable groups G with \(\omega (G)=2\) is given.
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irreducible complex characters
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non-solvable groups
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