a famous theorem of schur states that for a group $g$ finiteness of $g/z(g)$‎ ‎implies the finiteness of $g'.$ the converse of schur's theorem is an interesting problem which has been considered by some‎ ‎authors‎. ‎recently‎, ‎podoski and szegedy proved the truth of the converse of schur's theorem for capable groups‎. ‎they also established an explicit bound for the index of the center of such...

in this paper we find systems of subgroups of a finite‎ ‎group‎, ‎which $bbb p$nobreakdash-hspace{0pt}subnormality guarantees supersolvability‎ ‎of the whole group‎.

let $g$ be a non-abelian group of order $p^n$‎, ‎where $nleq 5$ in which $g$ is not extra special of order $p^5$‎. ‎in this paper we determine the maximal size of subsets $x$ of $g$‎ ‎with the property that $xyneq yx$ for any $x,y$ in $x$ with‎ ‎$xneq y$‎.

PURPOSE To investigate the association between soluble apoptosis and adhesion molecules and the development of proliferative vitreoretinopathy (PVR) after reattachment surgery for rhegmatogenous retinal detachment (RRD). METHODS A multiplex immunoassay was used to measure soluble Fas (sFas), sFas ligand (sFasL), soluble intercellular adhesion molecule (sICAM)-1, and soluble vascular cell adhe...

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...

a $p$-group $g$ is called a $mathcal{cac}$-$p$-group if $c_g(h)/h$ is ‎cyclic for every non-cyclic abelian subgroup $h$ in $g$ with $hnleq‎ ‎z(g)$‎. ‎in this paper‎, ‎we give a complete classification of‎ ‎finite $mathcal{cac}$-$p$-groups‎.

let g be a group. a subset x of g is a set of pairwise noncommuting elements if xy ̸= yx for any two distinct elements x and y in x. if |x| ≥ |y | for any other set of pairwise non-commuting elements y in g, then x is said to be a maximal subset of pairwise non-commuting elements. in this paper we determine the cardinality of a maximal subset of pairwise non-commuting elements in any non-abelian...

We have previously demonstrated the increased metastatic potential of human prostate cancer circulating tumor cells (CTC), compared to their parental cells, in both orthotopic mouse models and the chick embryo model. In the current study, we asked whether an extracellular matrix (ECM), produced by human foreskin fibroblasts in culture, could inhibit PC-3 human prostate cancer CTC metastasis in ...