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On the theory of Fitting classes of finite soluble groups

✍ Scribed by F. Peter Lockett


Publisher
Springer-Verlag
Year
1973
Tongue
French
Weight
699 KB
Volume
131
Category
Article
ISSN
0025-5874

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Let X, F, X βŠ† F, be non-trivial Fitting classes of finite soluble groups such that G X is an X-injector of G for all G ∈ F. Then X is said to be normal in F (F-normal). We show that for a subgroup-closed Fitting class X the collection of all subgroup-closed Fitting classes in which X is normal forms

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All groups considered in this paper are finite and soluble. Characterization of Schunck classes and saturated formations by means of certain embedding properties of their associated projectors plays an important part in the Theory of Classes of Groups. Schunck classes whose projectors are normal su