Hostname: page-component-6bf8c574d5-zc66z Total loading time: 0 Render date: 2025-03-09T15:13:33.743Z Has data issue: false hasContentIssue false
  • English
  • Français

A Magnus theorem for T(6) groups

Published online by Cambridge University Press:  24 October 2008

James Howie
James Howie
Affiliation:
Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS
Get access Rights & Permissions [Opens in a new window]

Extract

A theorem of Magnus [4] says that, if R and S are two cyclically reduced words in a free group F whose normal closures are equal, then R is a cyclic permutation of S or its inverse. This is useful for comparing presentations of one-relator groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 1 , January 1988 , pp. 1 - 3
Copyright
Copyright © Cambridge Philosophical Society 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Greendlinger, M.. An analogue of a theorem of Magnus. Arch. Math. 12 (1961), 94–96.CrossRefGoogle Scholar
[2]Kashintsev, E. V.. Analogues of a theorem of Magnus for groups with small cancellation and the impossibility of strengthening them. Mat. Zametki 38 (1985), 494–502.Google Scholar
[3]Lyndon, R. C. and Schupp, P. E.. Combinatorial group theory (Springer-Verlag, 1977).Google Scholar
[4]Magnus, W.. Untersuchungen über einige unendliche diskontinuierliche Gruppen. Math. Ann. 105 (1931), 52–74.CrossRefGoogle Scholar
[5]Pride, S. J.. Star complexes and the dependence problem for hyperbolic complexes. Glasgow Math. J., to appear.Google Scholar