If a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal normal subgroup of G, then AN or BN is nilpotent. This result is extended to several classes of infinite groups. (C) 2000 Academic Press.
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Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, Naples, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, Naples, Italy
de Giovanni, F.
Kurdachenko, L. A.
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Natl Univ Dnipro, Dept Algebra, Dnipro, UkraineUniv Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, Naples, Italy
Kurdachenko, L. A.
Russo, A.
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Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Via Vivaldi, Caserta, ItalyUniv Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, Naples, Italy