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On the linearity of free nilpotent-by-abelian groups

✍ Scribed by C.K Gupta; N.D Gupta


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
363 KB
Volume
24
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


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