Nilpotent-by-Noetherian Factorized Groups
AbstractIt is shown that a soluble-by-finite product G = AB of a nilpotent-by-noetherian group A and a noetherian group B is nilpotentby- noetherian. Moreover, a bound for the torsion-free rank of the Fitting factor group of G is given, in terms of the torsion-free rank of the Fitting factor group of A and the torsion-free rank of B.
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pp. 825-837
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2001 ◽
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pp. 373-404
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pp. 295-304
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