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 No.: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.