A century ago, Camille Jordan proved that the complex general linear group GLn(C) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(C) has an abelian subgroup H1 of index [H : H1] ≤ Cn. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dimG, and that the...

1. Dept. of Community and Mental Health Nursing, School of Nursing, Mafraq, Jordan 2. Dept. of Maternal, Child and Family Health, School of Nursing, the Hashemite University, Zarqa, Jordan 3. Dept. of Adult Health, School of Nursing, Zarqa University, Zarqa, Jordan 4. Unit of E-Learning & Information Technology, College of Nursing, King Saud University, Al-Diriyah, Saudi Arabia 5. Dept. of Midw...

BACKGROUND We have previously demonstrated that changes in myosin heavy chain (MHC) isoforms that occur in failing human hearts resemble the pattern produced in rodent myocardium in response to hypothyroidism. Because thyroid hormone status is usually within normal limits in these patients, we hypothesized that failing/hypertrophied human myocardium might have a defect in thyroid hormone signal...

In this paper, we investigate the exact solution of an anisotropic space-time in context $f(Q)$ gravity, where $f\left( Q\right) $ is arbitrary function non-metricity scalar $Q$. Here, consider a specific power-law form as =\alpha Q^{n+1}+\beta $, $\alpha $\beta and $n$ are free model parameters. Using cosmology ($a\left( t\right) \propto t^{m}$), analyze physical behavior cosmological paramete...

This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism.  Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-c...

A bstract We propose a novel procedure of assigning pair non-unitary topological quantum field theories (TQFTs), TFT ± [ $$ \mathcal{T} T rank 0 ], to (2+1)D interacting \mathcal{N} N = 4 superconformal theory (SCFT) 0, i.e. having no Coulomb and Higgs branches. The arise from particular dege...