Abstract
IfF is a nonempty formation, then theF-coradical of a finite group G is the intersection of all those normal subgroups N of G for which G / N ∈F. We study the structure of theF-coradical of a group generated by two subnormal subgroups of a finite group. The results are used to reveal properties sufficient for theF-coradicals of subnormal subgroups to be permutable, forF a composition formation.
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Translated fromAlgebra i Logika, Vol. 34, No. 5, pp. 493–513, September-October, 1995.
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Kamornikov, S.F., Shemetkov, L.A. Coradicals of subnormal subgroups. Algebr Logic 34, 273–284 (1995). https://doi.org/10.1007/BF00768098
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DOI: https://doi.org/10.1007/BF00768098