75
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

On one-relator products induced by generalized triangle groups I

&
Pages 1138-1154 | Received 30 Jun 2015, Published online: 11 Aug 2017

References

  • Chinyere, I., Howie, J. (to appear). On one-relator products induced by generalised triangle groups II. Commun. Algebra.
  • Duncan, A., Howie, J. (1993). One-relator products with high powered relators. In: Niblo, G. A., Roller, M. A., eds. Geometric Group Theory, Sussex, Volume 1 (Sussex, 1991). LMS Lecture Note Series, Vol. 181. Cambridge: Cambridge University Press, pp. 48–74.
  • Edjvet, M., Howie, J. (1996). On the abstract groups (3,n,p;2). J. London Math. Soc. 53(2):271–288.
  • Fine, N. J., Wilf, H. S. (1965). Uniqueness theorem for periodic functions. Proc. Amer. Math. Soc. 16:109–114.
  • Howie, J. (1989). The quotient of a free product of groups by a single high-powered relator. I. Pictures. Fifth and higher powers. Proc. London Math. Soc. 59(3):507–540.
  • Howie, J. (1990). The quotient of a free product of groups by a single high-powered relator. II. Fourth powers. Proc. London Math. Soc. 61(3):33–62.
  • Howie, J. (1991). The quotient of a free product of groups by a single high-powered relator. III. The word problem. Proc. London Math. Soc. 62(3):590–606.
  • Howie, J., Kopteva, N. (2006). The Tits alternative for generalised tetrahedron groups. J. Group Theory 9:173–189.
  • Howie, J., Shwartz, R. (2004). One-relator products induced from generalised triangle groups. Commun. Algebra 32:2505–2526.
  • Lyndon, R. C., Schupp, P. E. (1977). Combinatorial Group Theory. Berlin, Heidelberg, New York: Springer-Verlag.
  • Magnus, W. (1930). Über diskontinuierliche Gruppen mit einer definierenden relation (Der Freiheitssatz). J. Reine Angew. Math. 163:141–165.
  • Magnus, W. (1932). Das Identitätsproblem für Gruppen mit einer definierenden relation. Math. Ann. 106:295–307.
  • Weinbaum, C. M. (1972). On relators and diagrams for groups with one defining relation. Illinois J. Math. 16:308–322.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.