Hostname: page-component-7479d7b7d-767nl Total loading time: 0 Render date: 2024-07-13T02:48:12.315Z Has data issue: false hasContentIssue false
  • English
  • Français

On T(6)-groups

Published online by Cambridge University Press:  24 October 2008

Mohamed S. El-Mosalamy  and
Stephen J. Pride
Mohamed S. El-Mosalamy
Affiliation:
Department of Mathematics, Aswan University, Egypt
Stephen J. Pride
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow, G12 8QW
Get access Rights & Permissions [Opens in a new window]

Extract

This paper is concerned with group presentations satisfying the small cancellation condition T(6). The definition of this condition is given in §1·2, together with some examples. Before giving the definition, however, we describe (in §1·1) some material which, to a certain extent, motivated our paper. In § 1·3 we state our main theorem, which provides new solutions to the word and conjugacy problems for T(6)-groups.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 102 , Issue 3 , November 1987 , pp. 443 - 451
Copyright
Copyright © Cambridge Philosophical Society 1987

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]Hill, P., Pride, S. J. and Vella, A. D.. On the T(q)-conditions of small cancellation theory. Israel J. Math. 52 (1985), 293–304.CrossRefGoogle Scholar
[2]Lyndon, R. C. and Schupp, P. E.. Combinatorial group theory (Springer-Verlag, 1977).Google Scholar
[3]Meskin, S.. Non-residually finite one-relator groups. Trans. Amer. Math. Soc. 164 (1972), 105–114.CrossRefGoogle Scholar
[4]Pride, S. J.. On Tits' conjecture and other questions concerning Artin and generalized Artin groups. Invent. Math. 86 (1986), 347–356.CrossRefGoogle Scholar
[5]Pride, S. J.. Star complexes, and the dependence problems for hyperbolic complexes. Glasgow Math. J. (To appear.)Google Scholar
[6]Schupp, P. E.. A survey of small cancellation theory. In Word Problems (North-Holland, 1973).Google Scholar
[7]Wall, C. T. C. (ed.). Homological group theory (Cambridge University Press, 1979).CrossRefGoogle Scholar
[8]Edjvet, M. and Howie, J.. Star graphs, projective planes and free subgroups in small cancellation groups. Preprint (1987).CrossRefGoogle Scholar