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The Nilpotent-By-Finite Projectors of Polycyclic Groups

✍ Scribed by Newell, M. L.


Book ID
120096894
Publisher
Oxford University Press
Year
1974
Tongue
English
Weight
204 KB
Volume
s2-7
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


Finite-by-nilpotent groups
✍ Hall, P. πŸ“‚ Article πŸ“… 1956 πŸ› Cambridge University Press 🌐 English βš– 320 KB
On the Nilpotent Length of Polycyclic Gr
✍ 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