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Finitely generated residually torsion-free nilpotent groups. I
Published online by Cambridge University Press: 09 April 2009
Abstract
The object of this paper is to study the sequence of torsion-free ranks of the quotients by the terms of the lower central series of a finitely generated group. This gives rise to the introduction into the study of finitely generated, residually torison-free nilpotent groups of notions relating to the Gelfand-Kirillov dimension. These notions are explored here. The main result concerning the sequences alluded to is the proof that there are continuously many such sequences.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 67 , Issue 3 , December 1999 , pp. 289 - 317
- Copyright
- Copyright © Australian Mathematical Society 1999
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