This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan cell of finite rank to one of lower rank. A conformal Jordan cell of rank one corresponds to a primary field. This offers a picture in which any...

Bruno Poizat is associated, among other things, with broadening the scope of the theory of groups of finite Morley rank to the level of stable groups [P87], in keeping with the general trend of the development of model theory from Morley to Shelah. But this has not prevented him from taking an active interest in such aspects of the theory as are associated more particularly with the case of fin...

Let G be a rank two finite group, and let H denote the family of all rank one p-subgroups of G, for which rankp(G) = 2. We show that a rank two finite group G which satisfies certain group-theoretic conditions admits a finite G-CW-complex X ' S with isotropy in H, whose fixed sets are homotopy spheres.

3 The 2D-SSA method provides a decomposition of a 2D-array (a function 4 of two variables, e.g. digital image) into a sum of identifiable components. 5 For the decomposition to be proper, these components should be close to 6 2D-arrays of finite rank. This paper is devoted to study of arrays of finite 7 rank by means of polynomial ideals generated by arrays. The 2D-arrays are 8 considered as fu...

Sufficient conditions are given for groups of finite Morley rank having non-trivial torsion-free nilpotent normal subgroups to have linear representations with small kernels. In particular, centreless connected soluble groups of finite Morley rank with torsion-free Fitting subgroups have faithful linear representations. On the way, using a notion of definable weight space, we prove that certain...