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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
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