Article contents
The Residual Finiteness of Polygonal Products—Two Counterexamples
Published online by Cambridge University Press: 20 November 2018
Abstract
We show that, even under very favourable hypotheses, a polygonal product of finitely generated torsion free nilpotent groups amalgamating infinite cyclic subgroups is, in general, not residually finite, thus answering negatively a question of C. Y. Tang. A second example shows similar kinds of limitations apply even when the factors of the product are free abelian groups.
Keywords
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1994
References
- 3
- Cited by