the coherence of one-relator groups with torsion and the hanna neumann conjecture
Published online by Cambridge University Press: 23 September 2005
Abstract
a conjecture is proposed, bounding the number of cycles with label $w^n$ in a labeled directed graph. some partial results towards this conjecture are established. as a consequence, it is proved that $\langle a_1, a_2, \ldots\,{\mid}\,w^n\rangle$ is coherent for $n\,{\geq}\,4$. furthermore, it is coherent for $n\,{\geq}\,2$, provided that the strengthened hanna neumann conjecture holds.
- Type
- papers
- Information
- Copyright
- the london mathematical society 2005
Footnotes
- 5
- Cited by