We show that the Mathieu groups M22 and M11 can act on the supersingular K3 surface with Artin invariant 1 in characteristic 11 as symplectic automorphisms. More generally we show that all maximal subgroups of the Mathieu group M23 with three orbits on 24 letters act on a supersingular K3 surface with Artin invariant 1 in a suitable characteristic.

It has recently been shown that the equation of motion of a massless scalar field in the background of some specific p branes can be reduced to a modified Mathieu equation. In the following the absorption rate of the scalar by a D3 brane in ten dimensions is calculated in terms of modified Mathieu functions of the first kind, using standard Mathieu coefficients. The relation of the latter to Do...

OBJECTIVE To compare outcomes of the Mathieu incised-plate (Mathieu-IP) technique vs the standard tubularised incised-plate (TIP) technique for primary management of distal hypospadias. PATIENTS AND METHODS Between April 2012 and August 2015, 66 patients (aged 15-60 months) with primary distal hypospadias were randomly allocated to two groups. Group 1 included 34 patients who underwent Mathie...

The authors investigate several recently posed problems involving the familiar Mathieu series and its various generalizations. For certain families of generalized Mathieu series, they derive a number of integral representations and investigate several one-sided inequalities which are obtainable from some of these general integral representations or from sundry other considerations. Relevant con...

In this essay, we will discuss some interesting properties of the Mathieu groups, which are a family of five sporadic finite simple groups, as well as some closely related topics. One construction of the Mathieu groups involves Steiner systems, so we will begin by discussing Steiner systems.

It is well known that the Mathieu series has a wide application in mathematics science. In this paper, we use the elementary method and construct some new inequalities to study the computational problem of the partial reciprocal sums related to the Mathieu series and obtain an interesting inequality and a related identity.

In this paper, we study the relation between images of polynomial derivations and their simplicity. We prove that simple Shamsuddin are not Mathieu–Zhao spaces. addition, show some in dimension three Mathieu-Zhao Thus, conjecture greater than one also locally nilpotent one.

Background: Hypospadias is a congenital abnormality characterized by opening of external urethral meatus on ventral aspect of the penis with an overall incidence of 1:300. Different treatment modalities have been employed in the treatment of distal penile hypospadias with varying degrees of success and complications. A number of studies have compared Mathieu and Snodgrass Techniques but the exi...

Some novel exact solutions and approximations to the damped Duffing–Mathieu-type oscillator with cubic nonlinearity are obtained. This work is divided into two parts: in first part, some both undamped Mathieu oscillators These expressed terms of functions kind. In second equation motion Duffing–Mathieu (dDME) solved using effective highly accurate approaches. approach, nonintegrable dDME reduce...

In the early 80-ties it became clear that the classification of the non-abelian finite simple groups was complete. Among the finite simple groups we find several families: the alternating groups and various families of groups of Lietype and their twisted analogues. Besides these families there exist 26 sporadic finite simple groups. In these notes we consider five sporadic simple groups, the Ma...