4 papers
On the degree 2 map for a sphere
F. R. Cohen, I. Johnson
The purpose of this article is to compare the two self-maps of given by the -fold looping of a degree 2 map and the H-space squaring map. The mai…
On injective homomorphisms for pure braid groups, and associated Lie algebras
F. R. Cohen, Stratos Prassidis
The question of whether a representation of Artin's pure braid group is faithful is translated to certain properties of the Lie algebra arising from the descending central series o…
On representations and K-theory of the braid groups
Alejandro Adem, Daniel C. Cohen, Frederick R. Cohen
Let G be the fundamental group of the complement of a K(G,1) hyperplane arrangement (such as Artin's pure braid group) or more generally a homologically toroidal group (as defined…
Lie algebras associated to fiber-type arrangements
Daniel C. Cohen, Frederick R. Cohen, Miguel Xicotencatl
Given a hyperplane arrangement in a complex vector space of dimension n, there is a natural associated arrangement of codimension k subspaces in a complex vector space of dimension…