1. CJM 2014 (vol 67 pp. 1024)
 Ashraf, Samia; Azam, Haniya; Berceanu, Barbu

Representation Stability of Power Sets and Square Free Polynomials
The symmetric group $\mathcal{S}_n$ acts on the power
set $\mathcal{P}(n)$ and also on the set of
square free polynomials in $n$ variables. These
two related representations are analyzed from the stability point
of view. An application is given for the action of the symmetric
group on the cohomology of the pure braid group.
Keywords:symmetric group modules, square free polynomials, representation stability, Arnold algebra Categories:20C30, 13A50, 20F36, 55R80 

2. CJM 2007 (vol 59 pp. 418)
 Stoimenow, A.

On Cabled Knots and Vassiliev Invariants (Not) Contained in Knot Polynomials
It is known that the BrandtLickorishMillettHo polynomial $Q$
contains Casson's knot invariant. Whether there are (essentially)
other Vassiliev knot invariants obtainable from $Q$ is an open
problem. We show that this is not so up to degree $9$. We also
give the (apparently) first examples of knots not distinguished
by 2cable HOMFLY polynomials which are not mutants. Our calculations
provide evidence of a negative answer to the question whether Vassiliev
knot invariants of degree $d \le 10$ are determined by the HOMFLY and
Kauffman polynomials and their 2cables, and for the existence of
algebras of such Vassiliev invariants not isomorphic to the algebras
of their weight systems.
Categories:57M25, 57M27, 20F36, 57M50 

3. CJM 2003 (vol 55 pp. 822)
 Kim, Djun Maximilian; Rolfsen, Dale

An Ordering for Groups of Pure Braids and FibreType Hyperplane Arrangements
We define a total ordering of the pure braid groups which is
invariant under multiplication on both sides. This ordering is
natural in several respects. Moreover, it wellorders the pure braids
which are positive in the sense of Garside. The ordering is defined
using a combination of Artin's combing technique and the Magnus
expansion of free groups, and is explicit and algorithmic.
By contrast, the full braid groups (on 3 or more strings) can be
ordered in such a way as to be invariant on one side or the other, but
not both simultaneously. Finally, we remark that the same type of
ordering can be applied to the fundamental groups of certain complex
hyperplane arrangements, a direct generalization of the pure braid
groups.
Category:20F36 
