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Tree groups and the 4-string pure braid group

✍ Scribed by Carl Droms; Jacques Lewin; Herman Servatius

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
956 KB
Volume
70
Category
Article
ISSN
0022-4049

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πŸ“œ SIMILAR VOLUMES

A generalized Desargues configuration an
A generalized Desargues configuration and the pure braid group
✍ Raul Cordovil; AntΓ³nio Guedes de Oliveira; Michel Las Vergnas πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 459 KB

In this paper, a configuration with n = (g) points in the plane is described. This configuration, as a matroid, is a Desargues configuration if d = 5, and the union of (~) such configurations if d > 5. As an oriented matroid, it is a rank 3 truncation of the directed complete graph on d vertices. Fr

On the structure of surface pure braid g
On the structure of surface pure braid groups
✍ D.L. GonΓ§alves; J. Guaschi πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 347 KB

We describe some of the properties of the pure braid groups of surfaces di erent from S 2 and RP 2 . In the case of compact, connected, orientable surfaces without boundary and of genus at least two, we give a necessary and su cient condition for the splitting of the pure braid group exact sequence

Dimension n Representations of the Braid
Dimension n Representations of the Braid Group on n Strings
✍ Inna Sysoeva πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 135 KB

In 1996, E. Formanek classified all the irreducible complex representations of B n of dimension at most n y 1, where B is the Artin braid group on n strings. In this n paper we extend this classification to the representations of dimension n, for n G 9. We prove that all such representations are equ

Band-generator presentation for the 4-br
Band-generator presentation for the 4-braid group
✍ Eun Sook Kang; Ki Hyoung Ko; Sang Jin Lee πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 939 KB

A new presentation for the 4-braid group (called the band-generator presentation) is introduced. The word problem, the conjugacy problem and the shortest word problem for this presentation are solved.