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The Fitting class generated by the \(\pi\)-perfect groups. (English) Zbl 0716.20016

An effective description of the Fitting class defined by the title is given: for any set \(\pi\) of primes such that \(\pi '\neq \emptyset\) that class is \(E_*S_{\pi '}\).
Reviewer: P.Förster

MSC:

20F17 Formations of groups, Fitting classes
20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks
20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure
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