𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Influence of Nilpotent Subgroups on the Nilpotent Length and Derived Length of a Finite Group

✍ Scribed by Jones, G.


Book ID
120101545
Publisher
Oxford University Press
Year
1984
Tongue
English
Weight
386 KB
Volume
s3-49
Category
Article
ISSN
0024-6115

No coin nor oath required. For personal study only.


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