No CrossRef data available.
Article contents
On the “largeness” of one-relator groups
Published online by Cambridge University Press: 20 January 2009
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
If G is a one-relator group on at least 3 generators, or is a one-relator group with torsion on at least 2 generators, then it follows from results in [1] and [6] that G has a subgroup of finite index which can be mapped homomorphically onto F2, the free group of rank 2. In the language of [2], G is equally as large as F2, written G⋍F2.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1986
References
REFERENCES
1.Baumslag, B. and Pride, S. J., Groups with two more generators than relators, J. London Math. Soc. (2) 17 (1978), 425–426.CrossRefGoogle Scholar
2.Edjvet, M. and Pride, S. J., The concept of “largeness” in group theory II, Proc. Conf. on Group Theory, Korea 1983 (Lecture Notes in Mathematics 1098, Springer, Berlin-Heidelberg-New York, 1984).Google Scholar
3.Lyndon, R. C. and Schupp, P. E., Combinatorial Group Theory (Springer, Berlin-Heidelberg-New York, 1977).Google Scholar
4.Pride, S. J., The concept of “largeness” in group theory in Proc. Conf. on Word and Decision Problems in Group Theory and Algebra, Oxford, 1976.Google Scholar
6.Stohr, R., Groups with one more generator than relators, Math. Z. 182 (1983), 45–47.CrossRefGoogle Scholar
You have
Access