For any group G, let C(G) denote the set of centralizers of G.We say that a group G has n centralizers (G is a Cn-group) if |C(G)| = n.In this note, we prove that every finite Cn-group with n ≤ 21 is soluble andthis estimate is sharp. Moreover, we prove that every finite Cn-group with|G| < 30n+1519 is non-nilpotent soluble. This result gives a partial answer to aconjecture raised by A. Ashrafi in ...

abstract background: peripheral insertion of central catheters can be difficult in neonates. we compared the success rates of peripherally inserted central catheters by two methods of using static ultrasound and traditional technique (vein visualization and palpation) in neonates. materials and methods: in a prospective randomized, controlled trial, 52 neonates with birth weight lower than 1500...

in this paper we study right $n$-engel group elements‎. ‎by modifying a group constructed by newman and nickel‎, ‎we construct‎, ‎for each integer $ngeq 5$‎, ‎a 2-generator group $g =langle a‎, ‎brangle$ with the property that $b$ is a right $n$-engel‎ ‎element but where $[b^k,_n a]$ is of infinite order when $knotin {0‎, ‎1}$‎.

Let $G$ be a finite non-abelian $p$-group and $L(G)$ denotes the absolute center of $G$. Also, let $Aut^{L}(G)$ and $Aut_c(G)$ denote the group of all absolute central and the class preserving automorphisms of $G$, respectively. In this paper, we give a necessary and sufficient condition for $G$ such that $Aut_c(G)=Aut^{L}(G)$. We also characterize all finite non-abelian $p$-groups of order $p^...

background: childhood obesity could induce some risk factors for cardiovascular disease (cvd) including serum lipid abnormalities, hypertension, and atherosclerosis. the present study aimed to comparison the lipid profile in normal children with cases having overweight, obesity and central obesity . methods : i n this case control study , which was conducted 2013 , serum lipids for three groups...

purpose: to compare clinical and confocal scan outcomes after descemet stripping automated endothelial keratoplasty (dsaek) performed for fuchs’ endothelial dystrophy versus pseudophakic bullous keratopathy. methods: in this retrospective comparative study, 47 consecutive eyes of 39 patients with the diagnosis of fuchs’ endothelial dystrophy (n=29, group 1) or pseudophakic bullous keratopathy (...

Let $G$ be a non-abelian group. The non-commuting graph $Gamma_G$ of $G$ is defined as the graph whose vertex set is the non-central elements of $G$ and two vertices are joined if and only if they do not commute.In this paper we study some properties of $Gamma_G$ and introduce $n$-regular $AC$-groups. Also we then obtain a formula for Szeged index of $Gamma_G$ in terms of $n$, $|Z(G)|$ and $|G|...