ON QUOTIENTS OF BRAID-GROUPS

Authors
LEUNG KH WONG YL
Citation
Kh. Leung et Yl. Wong, ON QUOTIENTS OF BRAID-GROUPS, Communications in algebra, 24(8), 1996, pp. 2535-2549
Citations number
4
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
24
Issue
8
Year of publication
1996
Pages
2535 - 2549
Database
ISI
SICI code
0092-7872(1996)24:8<2535:OQOB>2.0.ZU;2-J
Abstract
Let G be the group Z[t,t(-1)] x Z. By studying the action of the braid group B-n on the set G(n), we obtain representations of B-n into a wr eath product of the symmetric group and the general linear group over Z[t, t(-1)]. This in particular recovers the Burau representation of t he braid group. Furthermore, some quotients of the braid group are obt ained by using the representations found.