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On the Fitting length of a soluble product of nilpotent groups

✍ Scribed by Silvana Franciosi; Francesco de Giovanni; Hermann Heineken; Martin L. Newell

Book ID
112497059
Publisher
Springer
Year
1991
Tongue
English
Weight
342 KB
Volume
57
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

On the Nilpotent Length of Polycyclic Gr
On the Nilpotent Length of Polycyclic Groups
✍ GΓ©rard Endimioni πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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