Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-17T06:19:29.007Z Has data issue: false hasContentIssue false

On reducible braids and composite braids

Published online by Cambridge University Press:  18 May 2009

Stephen P. Humphries
Affiliation:
Department of MathematicsBrigham Young UniversityProvo, Utah 84604, USA
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.

The braid group on n strings Bn has a presentation as a group with generators σ1, …, σn−1 and relations

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1994

References

REFERENCES

1.Birman, J., Braids, links and mapping class groups, Annals of Math. Studies 82 (Princeton University Press, 1985).Google Scholar
2.Garside, F. A., The braid groups and other groups, Quart. J. Math. (Oxford) 20 (1969), 235254.CrossRefGoogle Scholar
3.Humphries, S. P., Split braids, Proc. Amer. Math. Soc. 113 (1991), 2126.CrossRefGoogle Scholar