\(\pi\)-theory of characters and normal \(\pi\)-complement (Q2744424)
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scientific article; zbMATH DE number 1649007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\pi\)-theory of characters and normal \(\pi\)-complement |
scientific article; zbMATH DE number 1649007 |
Statements
8 April 2003
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irreducible characters
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\(\pi\)-special characters
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normal \(\pi\)-complements
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\(\pi\)-separable groups
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\(\pi\)-theory of characters and normal \(\pi\)-complement (English)
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This paper deals with the problem under what circumstances any irreducible character \(\varphi\in\text{Irr}(H)\), with \(H\in\text{Hall}_\pi(G)\) extends to a \(\pi\)-special character of \(G\) in terms of \(G\) possessing a normal \(\pi\)-complement. The paper considers \(\pi\)-separable groups and so-called \(B_\pi\)-characters, in order to treat the problems. So, as such, the paper is related to \textit{D. Gajendragadkar}'s work [in J. Algebra 59, 237-259 (1979; Zbl 0426.20007)] and \textit{I. M. Isaacs}'s work [in J. Algebra 86, 98-128 (1984; Zbl 0526.20006) and ibid. 99, 89-107 (1986; Zbl 0587.20005)].NEWLINENEWLINENEWLINEUnfortunately, the paper has a lot of misprints.
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