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the coherence of one-relator groups with torsion and the hanna neumann conjecture

Published online by Cambridge University Press:  23 September 2005

daniel t. wise
daniel t. wise
Affiliation:
dept. of math. & stats., mcgill university, montreal, quebec, canada h3a 2k6 wise@math.mcgill.ca
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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.

Keywords

20f0605c38
Type
papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 5 , October 2005 , pp. 697 - 705
Copyright
the london mathematical society 2005

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Footnotes

research supported by grants from nserc and fcar.