Let G be a finite group and X be a G-conjugacy of elements of order 3. The A4-graph of G is a simple graph with vertex set X and two vertices x,yÎX are linked if x≠ y and xy^-1 is an involution element. This paper aims to investigate  the A4-graph properties for the monster  Held group He.

Background Tinea versicolor is a common dermatological problem worldwide in distribution, caused by dimorphic fungus called Malassezia furfur, they exist at the very interface between
commensal and pathogen and, as such, their interaction with the human immune system is of great interest. Immuno-inflamatory activity mediated by different cytokines could have a role in the etiology of tinea versicolor.
Patients and Method: The study covered 46 subjects .It comprised 26 patients with TV compared with 20 healthy normal controls. Serum IL-6 analysis was done by ELISA.
Results: The level of IL-6 was elevated in patients with tinea versicolor, when compared with healthy control
Conclusion: IL-6 increases du

This study aims at re-transmit the spirit of the national democratic project of Iraq post of the chaos left by the Daesh terrorist group stage(The Islamic State of Iraq and Syria, ISIS) , Which controlled large parts of Iraq, and had an adverse effect on the political scene in Iraq, inspired everyone that there are deficiencies in the political, economic, religious and ethnic structure of the Iraqi people in non-response to democratic thought.The researcher relied on the hypothesis that " the requirements of building a democratic project are based on the need to provide the requirements ranging from two interrelated aspects, like the institutional aspect and the aspect that related to the general and necessary requirements for the establ

In this research, non-thermal plasma system of argon gas is designed to work at normal atmospheric pressure and suitable for work in medical and biotechnological applications. This technique is applied in the treatment of the Staphylococcus epidermidis bacteria and show the role of the flow rate of Argon gas on the killing rate of bacteria, and it obtained a 100 % killing rate during the time of 5 minutes at the flow Argon gas of 5 liters/ min.

The structural of peculiar spiral galaxy NGC 2608 have been studied using multiband CCD surface photometry of the observations that have been obtained by the 1.88 m optical telescope of Kottamia Astronomical Observatory (Egypt). We studied the structure and radial brightness distribution of the galaxy. The surface brightness distribution indicate that the center of the galaxy consist of two nucleus. The photometric parameters of its components and the color distribution over the galactic are estimated and stellar populations in different regions of the galaxy are analyzed using color diagram. The distributions of the color indices show that the observed photometric symmetry in the inner part of the galaxy, including the bar, is due to a

This study was conducted to explore the effects of using ionized water on the productive and physiological performance of Japanese quails (Coturnix japonica). Our study was conducted at a private farm from 20th April, 2016 to 13th July, 2016 (84 d). One hundred 42-day-old Japanese quail chicks were used, divided randomly into 5 groups with 4 replicates. Treatments consisted in a control group (T1 - normal water:), alkaline (T2 - pH 8 and T3 - pH 9), and acidic water (T4 - pH 6 and T5 - pH 5). All birds were fed a balanced diet of energy and protein. The egg production ratio, egg weight, cumulative number of eggs, egg mass, feed conversion ratio, productivity per hen per week, and effects on plasma lipids, uric acid, glucose, calcium, and ph

For a nonempty subset X of a group G and a positive integer m , the product of X , denoted by Xm ,is the set Xm = That is , Xm is the subset of G formed by considering all possible ordered products of m elements form X. In the symmetric group Sn, the class Cn (n odd positive integer) split into two conjugacy classes in An denoted Cn+ and Cn- . C+ and C- were used for these two parts of Cn. This work we prove that for some odd n ,the class C of 5- cycle in Sn has the property that = An n 7 and C+ has the property that each element of C+ is conjugate to its inverse, the square of each element of it is the element of C-, these results were used to prove that C+ C- = An exceptio

   For a finite group G, the intersection graph   of G is the graph whose vertex set is the set of all proper non-trivial subgroups of G, where two distinct vertices are adjacent if their intersection is a non-trivial subgroup of G. In this article, we investigate the detour index, eccentric connectivity, and total eccentricity polynomials of the intersection graph  of subgroups of the dihedral group  for distinct primes . We also find the mean distance of the graph  .

  The search is an application for one of the problems of mathematics in the computer; as providing construction and design of a major program to calculate the inverse permutations of the symmetric group Sn , where 1 ≤ n ≤ 13; using some of the methods used in the Number Theory by computer . Also the research includes design flow chart for the main program and design flow chart for the program inverse permutations and we give some illustrative examples for different symmetric groups and their inverse permutations.