We review the group structure of a cubic in the projective complex plane and give group theoretic formulations of some geometric properties of a cubic. Then, we apply them to pivotal isocubics, in particular to the cubics of Thomson, Darboux and Lucas. We use the group structure to identify different transformations of cubics. We also characterize equivalence of cubics in terms of the Salmon cr...

We report on some results concerning the effects of cubic anisotropy and quenched un-correlated impurities on multicomponent spin models. The analysis of the six-loop three-dimensional series provides an accurate description of the renormalization-group flow. 1 Cubic-symmetric models The magnetic interactions in crystalline solids with cubic symmetry like iron or nickel are usually modeled usin...