Let G be a finite group. The strong symmetric genus σ0(G) is the minimum genus of any Riemann surface on which G acts preserving orientation. The groups of strong symmetric genus σ0 ≤ 3 have been classified. Here we classify the groups of strong symmetric genus four. There are exactly ten such groups; eight of these are automorphism groups of regular maps of genus 4. We also consider non-abelia...

in the first part of this paper, some theorems are given for a riemannian manifold with semi-symmetric metric connection. in the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. we obtain some properties of this manifold having the vectors mentioned above.

a graph of size n is said to be graceful when is possible toassign distinct integers from {0, 1, . . . , n} to its verticesand {|f(u)−f(v)| : uv ∈ e(g)} consists of n integers. inthis paper we present broader families of graceful graphs; these families are obtained via three different operations: the third power of a caterpillar, the symmetric product of g and k2 , and the disjoint :union: of g...

Abstract We present the intracavity generation of beams with radial polarization at an average output power 750 W and optical efficiency 43% from a continuous wave thin-disk laser. Circular grating waveguide couplers (GWOC) were used to select polarization. The sensitivity polarizing function GWOC regards fabrication tolerances is also analysed in details particular emphasis on effect duty cycl...

The present investigation deals with the propagation of waves in a micropolar transversely isotropic layer. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and microrotation were also obtained. Finally, the numerical solution was carried out for aluminium epoxy material and the dispersion curv...