Abstract
The properties of distributive functors on the lattice of subnormal subgroups are studied. A class of radical distributive functors is singled out, a relationship between these functors and the Fitting classes is established, and the Fitting classes inducing a radical distributive functor are described.
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References
H. Wielandt, “Vertauschbare nachinvariante Untergruppen,”Abh. Math. Sem. Univ. Hamburg,21, No. 1-2, 55–62 (1957).
H. Wielandt, “Über das Erzeugnis paarweise kosubnormaler Untergruppen,”Arch. Math.,35, No. 1-2, 1–7 (1980).
S. F. Kamornikov, “On some properties of the formation of quasinilpotent groups,”Mat. Zametki [Math. Notes],53, No. 2, 71–77 (1993).
S. F. Kamornikov and L. A. Shemetkov, “On coradicals of subnormal subgroups”Algebra i Logika, [Algebra and Logic],34, No. 5, 493–513 (1995).
L. A. Shemetkov,Formations of Finite Groups [in Russian], Nauka, Moscow (1978).
K. Doerk and T. Hawkes,Finite Soluble Groups, Walter de Gruyter, Berlin-New York (1992).
H. Wielandt, “Eine Verallgemeinerung der invarianten Untergruppen,”Math. Z.,45, 209–244 (1939).
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Translated fromMatematicheskie Zametki, Vol. 68, No. 1, pp. 91–97, July, 2000.
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Kamornikov, S.F., Avdashkova, L.P. Radical distributive functors. Math Notes 68, 78–83 (2000). https://doi.org/10.1007/BF02674648
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DOI: https://doi.org/10.1007/BF02674648