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On solubility and supersolubility of some classes of finite groups

✍ Scribed by WenBin Guo; Kar Ping Shum; Alexander N. Skiba


Publisher
SP Science China Press
Year
2009
Tongue
English
Weight
339 KB
Volume
52
Category
Article
ISSN
1674-7283

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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