Let Γg,n, for 2g − 2 + n > 0, be the Teichmüller group of an n-punctured genus g compact Riemann surface Sg,n and let Γ(l), for a prime l ≥ 2, be the abelian level defined by the kernel of the natural representation Γg,n → Sp2g(Z/l). The pro-l completion Γ(l)(l) of Γ(l) defines a profinite completion of Γg,n, which we call the relative pro-l completion and denote by Γ (l) g,n. There is a natura...

We give an example of a short exact sequence 1 → N → G → D → 1 of pro-p groups such that the cohomological dimension cd(G) = 2, G is (topologically) finitely generated, N is a free pro-p group of infinite rank, D is a Demushkin group, for every closed subgroup S of G containing N and any natural number n the inflation map H2(S/N,Z/(pn)) → H2(S,Z/(pn)) is an isomorphism but G is not a free pro-p...

We give a short proof of the theorem that a closed subgroup of a countable product of second countable Lie groups is pro-Lie. The point of this note is to give a short and self-contained, modulo well known results, proof of a theorem of Hofmann and Morris [3] (see also [4, Theorem 3.35] and [5]) in the case of second countable groups. Another simple proof of the result of Hofmann and Morris was...

Let p be a prime number, G a finite group, Q a p-subgroup of G and L any subgroup of G containing the normalizer NG(Q) of Q in G. Let k be a field of positive characteristic p. In [2] J.A. Green demonstrates a fundamental correspondence between finitely generated kG-modules with vertex Q and finitely generated kL-modules with vertex Q. When L = NG(Q) the Green correspondence allows for the redu...

Background: Leishmania is a significant health problem in many parts of the world. Tumor necrosis factor (TNF) plays an essential role in Leishmania major infections. Objective: To study the pro-inflammatory cytokines and antioxidants in four groups of cutaneous leishmaniasis patients. Methods: 39 patients were divided into four groups of: 1) active (acute phase of treatment); 2) non-healing (r...

dilated cardiomyopathy (dcm) is accompanied by myocytes and connective tissue changes. matrix metalloproteinases (mmps) play important roles in cardiac remodeling. it seems that the gelatinases (mmp-2 and mmp-9) are effective enzymes in cardiomyopathy. dilated cardiomyopathy was confirmed in 22 dogs (patient group) including 11 female and 11 male by clinical examination, auscultation, thoracic ...