On the Nilpotent Length of Polycyclic Gr
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GΓ©rard Endimioni
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Article
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1998
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Elsevier Science
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English
β 146 KB
Let G be a polycyclic group. We prove that if the nilpotent length of each finite quotient of G is bounded by a fixed integer n, then the nilpotent length of G is at most n. The case n s 1 is a well-known result of Hirsch. As a consequence, we obtain that if the nilpotent length of each 2-generator