Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2016-01-01

Journal: ALGEBRAIC AND GEOMETRIC TOPOLOGY

Included Journals: SCIE

Volume: 16

Issue: 2

Page Number: 1043-1061

ISSN: 1472-2739

Abstract: Let G(L-n) be the link group of a Brunnian n - link L-n and R-i be the normal closure of the ith meridian in G(L-n) for 1 <= i <= n. In this article, we show that the intersecting subgroup R-1 boolean AND R-2 boolean AND...boolean AND R-m coincides with the iterated symmetric commutator subgroup Pi(sigma is an element of Sigma m) [[R-sigma(1),R- R-sigma(2)],..., R-sigma(m) for 2 <= m <= n using the techniques of homotopy theory. Moreover, we give a presentation for the intersecting subgroup R-1 boolean AND R-2 boolean AND .... boolean AND R-n.