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Lattices of partially local fitting classes

✍ Scribed by E. N. Zalesskaya; N. N. Vorob’ëv

Publisher: SP MAIK Nauka/Interperiodica
Year: 2009
Tongue: English
Weight: 178 KB
Volume: 50
Category: Article
ISSN: 0037-4466
DOI: 10.1007/s11202-009-0114-4

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Let X, F, X ⊆ 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