‎We characterize the finite simple groups $L_2(q)$ by the group orders and the largest‎ ‎element orders‎, ‎where $q$ is a prime or $q=2^a$‎, ‎with $2^a+1$ or $2^a-1$ a prime‎.  

In this paper we show that if q is a power of a prime p , then the projective special linear group PSL(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group PGL(2, q) for q odd and even respectively

PURPOSE The frequency of medication errors in an emergency department (ED) before and after an ED pharmacist was assigned to check medication orders was studied. METHODS A retrospective chart review was conducted for any patient admitted to the ED of a large rural hospital between November 6, 2005, and December 6, 2005 (control group), or between November 6, 2006, and December 6, 2006 (interv...

let $pi_e(g)$ be the set of element orders of a finite group $g$‎. ‎let $nse(g)={m_nmid ninpi_e(g)}$‎, ‎where $m_n$ be the number of elements of order $n$ in $g$‎. ‎in this paper‎, ‎we prove that if $nse(g)=nse(l_2(81))$‎, ‎then $gcong l_2(81)$‎.

let $pi_e(g)$ be the set of element orders of a finite group $g$‎. ‎let $nse(g)={m_nmid ninpi_e(g)}$‎, ‎where $m_n$ be the number of elements of order $n$ in $g$‎. ‎in this paper‎, ‎we prove that if $nse(g)=nse(l_2(81))$‎, ‎then $gcong l_2(81)$‎.

BACKGROUND Holding orders help transition admitted emergency department (ED) patients to hospital beds. OBJECTIVE To describe the effect of ED holding orders. METHODS We conducted a single-site retrospective study of ward admissions from the ED to the hospital internal medicine (HIM) service over 2 years. Patients were classified based on whether the ED did (group 1) or did not (group 2) wr...

Xie Chen,1,2 Zheng-Cheng Gu,3,4 Zheng-Xin Liu,5,2 and Xiao-Gang Wen6,2,5 1Department of Physics, University of California, Berkeley, California 94720, USA 2Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA 4Department of Physics, Cali...

Miyaji, Nakabayashi and Takano (MNT) gave families of group orders of ordinary elliptic curves with embedding degree suitable for pairing applications. In this paper we generalise their results by giving families corresponding to non-prime group orders. We also consider the case of ordinary abelian varieties of dimension 2. We give families of group orders with embedding degrees 5, 10 and 12.