Given a binary quasigroup $G$ of order $n$, $d$-iterated $G[d]$ is the $(d+1)$-ary equal to $d$-times composition with itself. The Cayley table every $d$-ary $d$-dimensional latin hypercube. Transversals and diagonals in multiary quasigroups are defined so as coincide those corresponding hypercube.
 We prove that if group $n$ satisfies Hall–Paige condition, then number transversals $ \frac...

INTRODUCTION Venous coronary artery bypass grafts (CABG) might undergo a process of arterialization resulting in neointimal formation and medial hypertrophy. It is often followed by critical occlusion of the graft lumen. The aim of the study was to assess histological representative features of saphenous vein reconstruction in aging as well as to establish optimal patients' age limits applicabl...

Recombinant adenovirus serotype 5 (rAd5) vector-based vaccines are currently being developed for both human immunodeficiency virus type 1 and other pathogens. The potential limitations associated with rAd5 vectors, however, have led to the construction of novel rAd vectors derived from rare Ad serotypes. Several rare serotype rAd vectors have already been described, but a detailed comparison of...

A subgroup $H$ is said to be $nc$-supplemented in a group $G$ if there exists a subgroup $Kleq G$ such that $HKlhd G$ and $Hcap K$ is contained in $H_{G}$, the core of $H$ in $G$. We characterize the supersolubility of finite groups $G$ with that every maximal subgroup of the Sylow subgroups is $nc$-supplemented in $G$.

Phytoplasmas are dangerous bacteria severely infecting agricultural production worldwide. In the present study, identification of phytoplasmas tomato plants showing symptoms such as small leaves, flower abnormalities, stunting, witches' broom, and reddening was performed. Five plants, two symptomatic three asymptomatic, were tested to verify phytoplasma infection. Total DNA isolated from 5 leaf...

We examine the subgroup D ( G ) of a transitive permutation group which is generated by derangements in . Our main results bound index this subgroup: we conjecture that, if has degree n and not Frobenius group, then | : ? ? 1 ; prove except when primitive affine group. For groups, translate our into an equivalent form regarding H R , where linear on finite vector space elements having eigenvalu...

Global aspects of Scherk-Schwarz dimensional reduction are discussed and it is shown that it can usually be viewed as arising from a compactification on the compact space obtained by identifying a (possibly non-compact) group manifold G under a discrete subgroup Γ, followed by a truncation. This allows a generalisation of ScherkSchwarz reductions to string theory or M-theory as compactification...

‎Let $tau$ be a subgroup functor and $H$ a $p$-subgroup of a finite group $G$‎. ‎Let $bar{G}=G/H_{G}$ and $bar{H}=H/H_{G}$‎. ‎We say that $H$ is $Phi$-$tau$-quasinormal in $G$ if for some $S$-quasinormal subgroup $bar{T}$ of $bar{G}$ and some $tau$-subgroup $bar{S}$ of $bar{G}$ contained in $bar{H}$‎, ‎$bar{H}bar{T}$ is $S$-quasinormal in $bar{G}$ and $bar{H}capbar{T}leq bar{S}Phi(bar{H})$‎. ‎I...

let $g$ be a finite group‎. ‎a subgroup‎ ‎$h$ of $g$ is called an $mathcal{h}$-subgroup in‎ ‎$g$ if $n_g(h)cap h^{g}leq h$ for all $gin‎ ‎g$. a subgroup $h$ of $g$ is called a weakly‎ ‎$mathcal{h}^{ast}$-subgroup in $g$ if there exists a‎ ‎subgroup $k$ of $g$ such that $g=hk$ and $hcap‎ ‎k$ is an $mathcal{h}$-subgroup in $g$. we‎ ‎investigate the structure of the finite group $g$ under the‎ ‎as...