\({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups (Q581670)
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scientific article; zbMATH DE number 4129091
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups |
scientific article; zbMATH DE number 4129091 |
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\({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups (English)
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1989
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The author generalizes some aspects of the theory of \({\mathcal H}\)- normalizers of finite soluble groups (cf. \textit{R. W. Carter}, \textit{T. O. Hawkes} [J. Algebra 5, 175-202 (1967; Zbl 0167.292)], \textit{A. Mann} [J. Algebra 14, 312-325 (1970; Zbl 0214.044)]) to arbitrary finite groups, here \({\mathcal H}=E_{\Phi}{\mathcal F}\) for some formation \({\mathcal F}\) of finite groups, so \({\mathcal H}\) is a Schunck class (of a rather special type).
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normalizers
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finite soluble groups
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formation
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Schunck class
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