‎For a finite group $G$‎, ‎let $nse(G)={m_kmid kinpi_e(G)}$‎, ‎where $m_k$ is the number of elements of order $k$ in $G$‎ ‎and $pi_{e}(G)$ is the set of element orders of $G$‎. ‎In this paper‎, ‎we prove that $Gcong L_m(2)$ if and only if $pmid |G|$ and $nse(G)=nse(L_m(2))$‎, ‎where $min {n,n+1}$ and $2^n-1=p$ is a prime number.

What are the most significant factors that motivate and inhibit faculty with regard to teaching in online environments? And what are the specific kinds of experiences that underlie and explain the importance of these factors? One goal of this study was to add to understanding of these issues, but the primary purpose of this study is determining how well these questions can be answered using the...

This paper identifies and analyses climate change impacts, their cascading consequences and the livelihood implications of these impacts on smallholder agricultural communities of coastal Bangladesh. Six physically and socio-economically vulnerable communities of south-western coastal regions were studied. Primary data was collected through focus group discussions, a seasonal calendar, and hist...

Teen dating violence (TDV) is a serious public health concern that is associated with many negative effects. Studies on TDV prevention most often focus on the evaluation of prevention programs in school and community settings. Much less is known about the effects of policy on TDV prevalence. This study tests a model to explain whether stronger laws regarding TDV, specifically civil protection o...

Oxidation of the thymine methyl group can generate 5-formyluracil (FoU), which is known to be both mutagenic and chemically unstable in DNA. Synthetic oligonucleotides containing FoU at defined sites have been prepared to investigate potential mechanisms by which FoU might perturb DNA function. The half-life of the glycosidic bond of an FoU residue in single-stranded DNA under physiological con...

In this paper we give the definitions and calculate the orders of some subgroups of GL(m,Zn) similar to the classical linear subgroups of the general linear group over any field. Specifically, the special modular linear group SL(m,Zn), the orthogonal modular group O(m,Zn), the special orthogonal modular group SO(m,Zn) and finally the symplectic modular group Sp(2m,Zn). The technique used consis...

The crucial problem of construction debris is of increasing concern in Hong Kong. In the construction industry, the electrical and mechanical (E&M) installations in the infrastructure, whether buildings, tunnels or dams for example, are some of the major and usually complex components. Difficulty in coordinating the various trades affects productivity in general, and has a major impact on the q...

The integral group ring of a finite group determines the isomorphism type of the chief factors of the group. Two proofs are given, one of which applies Cameron's and Teague's generalisation of Artin's theorem on the orders of finite simple groups to the orders of characteristically simple groups. The generalisation states that a direct power of a finite simple group is determined by its order w...

POP (prolyl oligopeptidase) specifically hydrolyses a number of small proline-containing peptides at the carboxy end of the proline residue and POP inhibitors have been shown to have cognition-enhancing properties. It has been noted that certain functional groups at the P1 site of the inhibitor, which correspond to the substrate residue on the N-terminal side of the bond to be cleaved, increase...