We extract the Braid group structure of a recently derived hierarchy scheme for the filling factors proposed by us which related the Hausdorff dimension, h, to the statistics, ν, of the collective excitations in the context of the Fractional Quantum Hall Effect (FQHE).

OBJECTIVES To compare bone healing of tibial osteotomy repaired with Nitinol wire braid and hardened steel rods (Braid system) and polymethylmethacrylate bone cement with an interlocking intramedullary (IM) nail fixation in an ovine model. STUDY DESIGN In vitro and in vivo experimental study. ANIMALS Adult female sheep (n=22). METHODS Using sheep tibia, a middiaphyseal transverse osteotom...

This paper gives a new, simplified presentation of the classical pure braid group. The generators are given by squares longest elements over connected subgraphs, and we prove that only relations either commutators or certain palindromic length 5 box relations. is motivated twist functors in algebraic geometry, but proof entirely Coxeter-theoretic. We also analogous set does not generate for all...

We construct a quasi-Garside monoid structure for the free group. This monoid should be thought of as a dual braid monoid for the free group, generalising the constructions by Birman-Ko-Lee and by the author of new Garside monoids for Artin groups of spherical type. Conjecturally, an analog construction should be available for arbitrary Artin groups and for braid groups of well-generated comple...