Let G = (X) and H be finite groups and let r : X ~ H be a map from the generating set X of G into H. We describe a simple approach for deciding whether or not r determines a group homomorphism from G to H, and if it does, for computing the kernel of r If O and H are permutation groups the algorithm is a simple application of standard algorithms for bases and strong generating sets. If G and H a...

BACKGROUND Even after adequate immunosuppression therapy, acute rejection continues to be the single most important cause of graft dysfunction after renal transplantation. Renal allograft biopsy continues to be the reference standard, though certain clinical and biochemical parameters are helpful in assessment of these patients. Renal allograft rejection is mediated by T lymphocytes, expressing...

BACKGROUND We recently reported that serum levels of pentosidine, one of the well-defined advanced glycation end products (AGE), was an independent prognostic factor for heart failure. Receptor for AGEs (RAGE) is expressed in a variety of tissues, and RAGE has a C-truncated secretory isoform of the receptor protein, termed soluble RAGE. In the present study, we measured serum soluble RAGE level...

We give an example of a pure group that does not have the independence property, whose Fitting subgroup is neither nilpotent nor definable andwhose soluble radical is neither soluble nor definable. This answers a question asked by E. Jaligot in May 2013. The Fitting subgroupof a stable group is nilpotent and definable (F.Wagner [11]). More generally, the Fitting subgroup of a group that satisfi...