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A lattice of $$\pi$$-Schunck classes. (English) Zbl 0855.20019
Summary: The paper proves that the class $$\mathcal P$$ of all $$\pi$$-Schunck classes with the $$P$$-property [the author, Prepr., Babeş-Bolyai Univ., Res. Semin. 1988, No. 5, 22-34 (1988; Zbl 0675.20012)], ordered by inclusion, forms with respect to the operations of composition [G. J. Wood, Math. Z. 130, 31-37 (1973; Zbl 0239.20016)] and intersection a complete lattice with 0 and 1.
##### MSC:
 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, $$\pi$$-length, ranks 06B15 Representation theory of lattices
##### Keywords:
$$\pi$$-Schunck classes