Article contents
Products of abelian hopfian groups
Published online by Cambridge University Press: 09 April 2009
Extract
Let ℜk be the variety of all nilpotent groups of class at most k. The purpose of this note is to prove the following Theorem 1. Letbe a variety of groups containing ℜ2, let A and B be torsion-free abelian hopfian groups and let P be the free-product2 of A and B. If P is residually torsion-free nilpotent, then P is hopfian.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1968
References
- 1
- Cited by