‎given a finite non-cyclic group $g$‎, ‎call $sigma(g)$ the smallest number of proper subgroups of $g$ needed to cover $g$‎. ‎lucchini and detomi conjectured that if a nonabelian group $g$ is such that $sigma(g) < sigma(g/n)$ for every non-trivial normal subgroup $n$ of $g$ then $g$ is textit{monolithic}‎, ‎meaning that it admits a unique minimal normal subgroup‎. ‎in this paper we show how thi...

Introduction: Peripheral Vascular Disease (PVD) is a major cause of morbidity and is associated with Coronary Artery Disease (CAD). We aimed to perform Lower Limb Perfusion Scan (LLPS) in patients referred for Myocardial Perfusion Imaging (MPI) and estimate prevalence of PVD in subgroups with normal and abnormal MPI results. We also compared quantitative indices of LLPS in pati...

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping, described by utt −∆Mu+ a(x) g(ut) = 0 on M× ]0,∞[ , where M ⊂ R is a smooth (of class C) oriented embedded compact surface without boundary, such that M = M0 ∪M1, where M1 := {x ∈ M;m(x) · ν(x) > 0} and M0 = M\M1. Here, m(x) := x − x, (x ∈ R fixed) and ν is the exterior unit normal v...

let h be a subgroup of a group g. h is said to be s-embedded in g if g has a normal t such that ht is an s-permutable subgroup of g and h ∩ t ≤ h sg, where h denotes the subgroup generated by all those subgroups of h which are s-permutable in g. in this paper, we investigate the influence of minimal s-embedded subgroups on the structure of finite groups. we determine the structure the finite grou...

in this paper, we deal with molaei’s generalized groups. we definethe notion of a fuzzy generalized subgroup with respect to a t-norm (ort-fuzzy generalized subgroup) and give some related properties. especially,we state and prove the representation theorem for these fuzzy generalizedsubgroups. next, using the concept of continuity of t-norms we obtain a correspondencebetween tf(g), the set of ...

The present article is a summary of joint work of the author and Phillip Wesolek on the normal subgroup structure of totally disconnected locally compact second-countable (t.d.l.c.s.c.) groups. The general strategy is as follows: We obtain normal series for a t.d.l.c.s.c. group in which each factor is ‘small’ or a non-abelian chief factor; we show that up to a certain equivalence relation (call...

Introduction: Impaired wound healing in diabetic patients is a major clinical problem, which is associated with significant morbidity and mortality. Estrogen has positive effects on neoangiogenesis, reepithelialization and cell proliferation. In this research, effect of estrogen on wound healing in diabetic male rats was investigated. Methods: This study was performed on male Wistar rats (bo...