Article contents
Lower central depth in finitely generated soluble-by-finite groups
Published online by Cambridge University Press: 18 May 2009
Extract
We say that a group G has finite lower central depth (or simply, finite depth) if the lower central series of G stabilises after a finite number of steps.
In [1], we proved that if G is a finitely generated soluble group in which each two generator subgroup has finite depth then G is a finite-by-nilpotent group. Here, in answer to a question of R. Baer, we prove the following stronger version of this result.
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 1978
References
REFERENCES
- 1
- Cited by