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On the fitting length of NC-groups

✍ Scribed by Anna Luisa Gilotti; Fletcher Gross; Umberto Tiberio

Publisher
Springer
Year
1991
Tongue
English
Weight
355 KB
Volume
40
Category
Article
ISSN
0046-5755

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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