Hostname: page-component-77c89778f8-9q27g Total loading time: 0 Render date: 2024-07-19T14:34:31.023Z Has data issue: false hasContentIssue false
  • English
  • Français

Analogues of the braid group whose graphs are stars

Published online by Cambridge University Press:  20 January 2009

Andrew K. Napthine
Andrew K. Napthine
Affiliation:
Department of Pure MathematicsUniversity of SheffieldHicks BuildingSheffield S3 7RH
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let G be a group having presentation

a braid relator and a commutator respectively, and define the graph of such a group as having vertices labelled x1,…, xn + 1 and such that xi and xj are joined if and only if rij = (xi, xj).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 1 , February 1985 , pp. 35 - 39
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

REFERENCES

1.al-Bar, M. and Johnson, D. L., Circular Braids, Arab Gulf J. Sci. Research 1:2 (1983).Google Scholar
2.Artin, E., Theorie de zopfe, Abh. Math. Sem. Univ. Hamburg 4 (1925), 47–72.CrossRefGoogle Scholar
3.Gorin, E. A. and Lin, V. Ja., Algebraic equations with continuous coefficients, and certain questions of the algebraic theory of braids, Math. USSR-Sb. 7 (1969), 569–596.CrossRefGoogle Scholar
4.Kurosh, A. G., The Theory of Groups, II, 2nd ed. transl, and ed. Hirsch, K. A. (New York: Chelsea, 1960).Google Scholar
5.Napthine, A. K., On the Artin braid group and some of its analogues (Ph.D. Thesis, University of Nottingham, 1983).Google Scholar
6.Wilson, R. J., Introduction to Graph Theory, 2nd ed. (Longman, London, 1979).Google Scholar