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Prefrattini groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Peter Förster
Peter Förster
Affiliation:
Fachbereich Mathematik Johannes Gutenberg-UniversitätD-6500 Mainz, F. R.Germany
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Abstract

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We define and investigate H-prefrattini subgroups for Schunck classes H of finite soluble groups, and solve a problem of Gaschütz concerning the structure of H-prefrattini groups for H = {1}.

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks 20D25: Special subgroups (Frattini, Fitting, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 234 - 247
Copyright
Copyright © Australian Mathematical Society 1983

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